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Finding the Third Proportional to 142,864.17 and 305,410.92

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Solution

The third proportional to 142,864.17 and 305,410.92 is: 652,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,864.17 : 305,410.92 = 305,410.92 : x
  2. Step 2: Convert to fraction form
    142,864.17/305,410.92 = 305,410.92/x
  3. Step 3: Cross multiply
    142,864.17x = 305,410.92 × 305,410.92
  4. Step 4: Simplify right side
    142,864.17x = 93,275,831,200.54
  5. Step 5: Solve for x
    x = 93,275,831,200.54/142,864.17
  6. Step 6: Final answer
    x = 652,898.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.