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Finding the Third Proportional to 157,822 and 238,373

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Solution

The third proportional to 157,822 and 238,373 is: 360,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,822 : 238,373 = 238,373 : x
  2. Step 2: Convert to fraction form
    157,822/238,373 = 238,373/x
  3. Step 3: Cross multiply
    157,822x = 238,373 × 238,373
  4. Step 4: Simplify right side
    157,822x = 56,821,687,129
  5. Step 5: Solve for x
    x = 56,821,687,129/157,822
  6. Step 6: Final answer
    x = 360,036.54

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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.