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Finding the Third Proportional to 187,201.13 and 416,547.56

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Solution

The third proportional to 187,201.13 and 416,547.56 is: 926,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,201.13 : 416,547.56 = 416,547.56 : x
  2. Step 2: Convert to fraction form
    187,201.13/416,547.56 = 416,547.56/x
  3. Step 3: Cross multiply
    187,201.13x = 416,547.56 × 416,547.56
  4. Step 4: Simplify right side
    187,201.13x = 173,511,871,824.69
  5. Step 5: Solve for x
    x = 173,511,871,824.69/187,201.13
  6. Step 6: Final answer
    x = 926,874.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.