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Finding the Third Proportional to 160,951.50 and 349,605

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Solution

The third proportional to 160,951.50 and 349,605 is: 759,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,951.50 : 349,605 = 349,605 : x
  2. Step 2: Convert to fraction form
    160,951.50/349,605 = 349,605/x
  3. Step 3: Cross multiply
    160,951.50x = 349,605 × 349,605
  4. Step 4: Simplify right side
    160,951.50x = 122,223,656,025
  5. Step 5: Solve for x
    x = 122,223,656,025/160,951.50
  6. Step 6: Final answer
    x = 759,381.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.