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Finding the Third Proportional to 187,125.75 and 406,237.50

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Solution

The third proportional to 187,125.75 and 406,237.50 is: 881,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,125.75 : 406,237.50 = 406,237.50 : x
  2. Step 2: Convert to fraction form
    187,125.75/406,237.50 = 406,237.50/x
  3. Step 3: Cross multiply
    187,125.75x = 406,237.50 × 406,237.50
  4. Step 4: Simplify right side
    187,125.75x = 165,028,906,406.25
  5. Step 5: Solve for x
    x = 165,028,906,406.25/187,125.75
  6. Step 6: Final answer
    x = 881,914.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.