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Finding the Third Proportional to 109,423 and 237,522

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Solution

The third proportional to 109,423 and 237,522 is: 515,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,423 : 237,522 = 237,522 : x
  2. Step 2: Convert to fraction form
    109,423/237,522 = 237,522/x
  3. Step 3: Cross multiply
    109,423x = 237,522 × 237,522
  4. Step 4: Simplify right side
    109,423x = 56,416,700,484
  5. Step 5: Solve for x
    x = 56,416,700,484/109,423
  6. Step 6: Final answer
    x = 515,583.57

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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.