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Finding the Third Proportional to 187,677 and 390,885.75

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Solution

The third proportional to 187,677 and 390,885.75 is: 814,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,677 : 390,885.75 = 390,885.75 : x
  2. Step 2: Convert to fraction form
    187,677/390,885.75 = 390,885.75/x
  3. Step 3: Cross multiply
    187,677x = 390,885.75 × 390,885.75
  4. Step 4: Simplify right side
    187,677x = 152,791,669,553.06
  5. Step 5: Solve for x
    x = 152,791,669,553.06/187,677
  6. Step 6: Final answer
    x = 814,120.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.