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Finding the Third Proportional to 118,543.50 and 285,687

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Solution

The third proportional to 118,543.50 and 285,687 is: 688,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,543.50 : 285,687 = 285,687 : x
  2. Step 2: Convert to fraction form
    118,543.50/285,687 = 285,687/x
  3. Step 3: Cross multiply
    118,543.50x = 285,687 × 285,687
  4. Step 4: Simplify right side
    118,543.50x = 81,617,061,969
  5. Step 5: Solve for x
    x = 81,617,061,969/118,543.50
  6. Step 6: Final answer
    x = 688,498.84

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.