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Finding the Third Proportional to 242,822.25 and 515,232

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Solution

The third proportional to 242,822.25 and 515,232 is: 1,093,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,822.25 : 515,232 = 515,232 : x
  2. Step 2: Convert to fraction form
    242,822.25/515,232 = 515,232/x
  3. Step 3: Cross multiply
    242,822.25x = 515,232 × 515,232
  4. Step 4: Simplify right side
    242,822.25x = 265,464,013,824
  5. Step 5: Solve for x
    x = 265,464,013,824/242,822.25
  6. Step 6: Final answer
    x = 1,093,244.19

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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.