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Finding the Third Proportional to 187,435.50 and 299,780.25

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Solution

The third proportional to 187,435.50 and 299,780.25 is: 479,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,435.50 : 299,780.25 = 299,780.25 : x
  2. Step 2: Convert to fraction form
    187,435.50/299,780.25 = 299,780.25/x
  3. Step 3: Cross multiply
    187,435.50x = 299,780.25 × 299,780.25
  4. Step 4: Simplify right side
    187,435.50x = 89,868,198,290.06
  5. Step 5: Solve for x
    x = 89,868,198,290.06/187,435.50
  6. Step 6: Final answer
    x = 479,461.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.