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Finding the Third Proportional to 237,742 and 522,136

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Solution

The third proportional to 237,742 and 522,136 is: 1,146,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,742 : 522,136 = 522,136 : x
  2. Step 2: Convert to fraction form
    237,742/522,136 = 522,136/x
  3. Step 3: Cross multiply
    237,742x = 522,136 × 522,136
  4. Step 4: Simplify right side
    237,742x = 272,626,002,496
  5. Step 5: Solve for x
    x = 272,626,002,496/237,742
  6. Step 6: Final answer
    x = 1,146,730.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.