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Finding the Third Proportional to 157,768 and 238,530

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Solution

The third proportional to 157,768 and 238,530 is: 360,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,768 : 238,530 = 238,530 : x
  2. Step 2: Convert to fraction form
    157,768/238,530 = 238,530/x
  3. Step 3: Cross multiply
    157,768x = 238,530 × 238,530
  4. Step 4: Simplify right side
    157,768x = 56,896,560,900
  5. Step 5: Solve for x
    x = 56,896,560,900/157,768
  6. Step 6: Final answer
    x = 360,634.35

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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.