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Finding the Third Proportional to 157,840 and 238,392

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Solution

The third proportional to 157,840 and 238,392 is: 360,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840 : 238,392 = 238,392 : x
  2. Step 2: Convert to fraction form
    157,840/238,392 = 238,392/x
  3. Step 3: Cross multiply
    157,840x = 238,392 × 238,392
  4. Step 4: Simplify right side
    157,840x = 56,830,745,664
  5. Step 5: Solve for x
    x = 56,830,745,664/157,840
  6. Step 6: Final answer
    x = 360,052.87

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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.