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Finding the Third Proportional to 142,952 and 322,332

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Solution

The third proportional to 142,952 and 322,332 is: 726,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952 : 322,332 = 322,332 : x
  2. Step 2: Convert to fraction form
    142,952/322,332 = 322,332/x
  3. Step 3: Cross multiply
    142,952x = 322,332 × 322,332
  4. Step 4: Simplify right side
    142,952x = 103,897,918,224
  5. Step 5: Solve for x
    x = 103,897,918,224/142,952
  6. Step 6: Final answer
    x = 726,802.83

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.