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Finding the Third Proportional to 187,911.14 and 417,751.17

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Solution

The third proportional to 187,911.14 and 417,751.17 is: 928,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,911.14 : 417,751.17 = 417,751.17 : x
  2. Step 2: Convert to fraction form
    187,911.14/417,751.17 = 417,751.17/x
  3. Step 3: Cross multiply
    187,911.14x = 417,751.17 × 417,751.17
  4. Step 4: Simplify right side
    187,911.14x = 174,516,041,602.94
  5. Step 5: Solve for x
    x = 174,516,041,602.94/187,911.14
  6. Step 6: Final answer
    x = 928,715.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.