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Finding the Third Proportional to 187,809.38 and 411,430.88

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Solution

The third proportional to 187,809.38 and 411,430.88 is: 901,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,809.38 : 411,430.88 = 411,430.88 : x
  2. Step 2: Convert to fraction form
    187,809.38/411,430.88 = 411,430.88/x
  3. Step 3: Cross multiply
    187,809.38x = 411,430.88 × 411,430.88
  4. Step 4: Simplify right side
    187,809.38x = 169,275,364,903.27
  5. Step 5: Solve for x
    x = 169,275,364,903.27/187,809.38
  6. Step 6: Final answer
    x = 901,314.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.