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Finding the Third Proportional to 237,256 and 369,496

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Solution

The third proportional to 237,256 and 369,496 is: 575,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,256 : 369,496 = 369,496 : x
  2. Step 2: Convert to fraction form
    237,256/369,496 = 369,496/x
  3. Step 3: Cross multiply
    237,256x = 369,496 × 369,496
  4. Step 4: Simplify right side
    237,256x = 136,527,294,016
  5. Step 5: Solve for x
    x = 136,527,294,016/237,256
  6. Step 6: Final answer
    x = 575,442.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.