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Finding the Third Proportional to 187,116.75 and 357,000.75

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Solution

The third proportional to 187,116.75 and 357,000.75 is: 681,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,116.75 : 357,000.75 = 357,000.75 : x
  2. Step 2: Convert to fraction form
    187,116.75/357,000.75 = 357,000.75/x
  3. Step 3: Cross multiply
    187,116.75x = 357,000.75 × 357,000.75
  4. Step 4: Simplify right side
    187,116.75x = 127,449,535,500.56
  5. Step 5: Solve for x
    x = 127,449,535,500.56/187,116.75
  6. Step 6: Final answer
    x = 681,123.07

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.