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Finding the Third Proportional to 157,820 and 238,366

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Solution

The third proportional to 157,820 and 238,366 is: 360,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820 : 238,366 = 238,366 : x
  2. Step 2: Convert to fraction form
    157,820/238,366 = 238,366/x
  3. Step 3: Cross multiply
    157,820x = 238,366 × 238,366
  4. Step 4: Simplify right side
    157,820x = 56,818,349,956
  5. Step 5: Solve for x
    x = 56,818,349,956/157,820
  6. Step 6: Final answer
    x = 360,019.96

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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.