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Finding the Third Proportional to 237,107 and 452,344

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Solution

The third proportional to 237,107 and 452,344 is: 862,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,107 : 452,344 = 452,344 : x
  2. Step 2: Convert to fraction form
    237,107/452,344 = 452,344/x
  3. Step 3: Cross multiply
    237,107x = 452,344 × 452,344
  4. Step 4: Simplify right side
    237,107x = 204,615,094,336
  5. Step 5: Solve for x
    x = 204,615,094,336/237,107
  6. Step 6: Final answer
    x = 862,965.22

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.