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Finding the Third Proportional to 165,877.88 and 250,191.56

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Solution

The third proportional to 165,877.88 and 250,191.56 is: 377,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,877.88 : 250,191.56 = 250,191.56 : x
  2. Step 2: Convert to fraction form
    165,877.88/250,191.56 = 250,191.56/x
  3. Step 3: Cross multiply
    165,877.88x = 250,191.56 × 250,191.56
  4. Step 4: Simplify right side
    165,877.88x = 62,595,817,946.19
  5. Step 5: Solve for x
    x = 62,595,817,946.19/165,877.88
  6. Step 6: Final answer
    x = 377,360.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.