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Finding the Third Proportional to 98,405.50 and 156,658.75

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Solution

The third proportional to 98,405.50 and 156,658.75 is: 249,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405.50 : 156,658.75 = 156,658.75 : x
  2. Step 2: Convert to fraction form
    98,405.50/156,658.75 = 156,658.75/x
  3. Step 3: Cross multiply
    98,405.50x = 156,658.75 × 156,658.75
  4. Step 4: Simplify right side
    98,405.50x = 24,541,963,951.56
  5. Step 5: Solve for x
    x = 24,541,963,951.56/98,405.50
  6. Step 6: Final answer
    x = 249,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.