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Finding the Third Proportional to 156,732.50 and 369,925.25

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Solution

The third proportional to 156,732.50 and 369,925.25 is: 873,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,732.50 : 369,925.25 = 369,925.25 : x
  2. Step 2: Convert to fraction form
    156,732.50/369,925.25 = 369,925.25/x
  3. Step 3: Cross multiply
    156,732.50x = 369,925.25 × 369,925.25
  4. Step 4: Simplify right side
    156,732.50x = 136,844,690,587.56
  5. Step 5: Solve for x
    x = 136,844,690,587.56/156,732.50
  6. Step 6: Final answer
    x = 873,109.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.