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Finding the Third Proportional to 157,637.25 and 238,091.06

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Solution

The third proportional to 157,637.25 and 238,091.06 is: 359,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,637.25 : 238,091.06 = 238,091.06 : x
  2. Step 2: Convert to fraction form
    157,637.25/238,091.06 = 238,091.06/x
  3. Step 3: Cross multiply
    157,637.25x = 238,091.06 × 238,091.06
  4. Step 4: Simplify right side
    157,637.25x = 56,687,354,042.38
  5. Step 5: Solve for x
    x = 56,687,354,042.38/157,637.25
  6. Step 6: Final answer
    x = 359,606.34

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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.