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Finding the Third Proportional to 73,691.25 and 157,897.50

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Solution

The third proportional to 73,691.25 and 157,897.50 is: 338,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,691.25 : 157,897.50 = 157,897.50 : x
  2. Step 2: Convert to fraction form
    73,691.25/157,897.50 = 157,897.50/x
  3. Step 3: Cross multiply
    73,691.25x = 157,897.50 × 157,897.50
  4. Step 4: Simplify right side
    73,691.25x = 24,931,620,506.25
  5. Step 5: Solve for x
    x = 24,931,620,506.25/73,691.25
  6. Step 6: Final answer
    x = 338,325.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.