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Finding the Third Proportional to 242,822.50 and 515,232.50

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Solution

The third proportional to 242,822.50 and 515,232.50 is: 1,093,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,822.50 : 515,232.50 = 515,232.50 : x
  2. Step 2: Convert to fraction form
    242,822.50/515,232.50 = 515,232.50/x
  3. Step 3: Cross multiply
    242,822.50x = 515,232.50 × 515,232.50
  4. Step 4: Simplify right side
    242,822.50x = 265,464,529,056.25
  5. Step 5: Solve for x
    x = 265,464,529,056.25/242,822.50
  6. Step 6: Final answer
    x = 1,093,245.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.