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Finding the Third Proportional to 157,004 and 237,452

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Solution

The third proportional to 157,004 and 237,452 is: 359,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004 : 237,452 = 237,452 : x
  2. Step 2: Convert to fraction form
    157,004/237,452 = 237,452/x
  3. Step 3: Cross multiply
    157,004x = 237,452 × 237,452
  4. Step 4: Simplify right side
    157,004x = 56,383,452,304
  5. Step 5: Solve for x
    x = 56,383,452,304/157,004
  6. Step 6: Final answer
    x = 359,121.12

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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.