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Finding the Third Proportional to 157,366 and 237,367

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Solution

The third proportional to 157,366 and 237,367 is: 358,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,366 : 237,367 = 237,367 : x
  2. Step 2: Convert to fraction form
    157,366/237,367 = 237,367/x
  3. Step 3: Cross multiply
    157,366x = 237,367 × 237,367
  4. Step 4: Simplify right side
    157,366x = 56,343,092,689
  5. Step 5: Solve for x
    x = 56,343,092,689/157,366
  6. Step 6: Final answer
    x = 358,038.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.