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Finding the Third Proportional to 159,742.50 and 242,530.50

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Solution

The third proportional to 159,742.50 and 242,530.50 is: 368,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,742.50 : 242,530.50 = 242,530.50 : x
  2. Step 2: Convert to fraction form
    159,742.50/242,530.50 = 242,530.50/x
  3. Step 3: Cross multiply
    159,742.50x = 242,530.50 × 242,530.50
  4. Step 4: Simplify right side
    159,742.50x = 58,821,043,430.25
  5. Step 5: Solve for x
    x = 58,821,043,430.25/159,742.50
  6. Step 6: Final answer
    x = 368,224.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.