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Finding the Third Proportional to 144,159.75 and 229,564.13

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Solution

The third proportional to 144,159.75 and 229,564.13 is: 365,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,159.75 : 229,564.13 = 229,564.13 : x
  2. Step 2: Convert to fraction form
    144,159.75/229,564.13 = 229,564.13/x
  3. Step 3: Cross multiply
    144,159.75x = 229,564.13 × 229,564.13
  4. Step 4: Simplify right side
    144,159.75x = 52,699,687,487.02
  5. Step 5: Solve for x
    x = 52,699,687,487.02/144,159.75
  6. Step 6: Final answer
    x = 365,564.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.