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Finding the Third Proportional to 187,770 and 417,521

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Solution

The third proportional to 187,770 and 417,521 is: 928,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,770 : 417,521 = 417,521 : x
  2. Step 2: Convert to fraction form
    187,770/417,521 = 417,521/x
  3. Step 3: Cross multiply
    187,770x = 417,521 × 417,521
  4. Step 4: Simplify right side
    187,770x = 174,323,785,441
  5. Step 5: Solve for x
    x = 174,323,785,441/187,770
  6. Step 6: Final answer
    x = 928,389.97

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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.