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Finding the Third Proportional to 157,700 and 238,192

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Solution

The third proportional to 157,700 and 238,192 is: 359,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,700 : 238,192 = 238,192 : x
  2. Step 2: Convert to fraction form
    157,700/238,192 = 238,192/x
  3. Step 3: Cross multiply
    157,700x = 238,192 × 238,192
  4. Step 4: Simplify right side
    157,700x = 56,735,428,864
  5. Step 5: Solve for x
    x = 56,735,428,864/157,700
  6. Step 6: Final answer
    x = 359,768.10

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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.