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Finding the Third Proportional to 157,707 and 238,194

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Solution

The third proportional to 157,707 and 238,194 is: 359,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,707 : 238,194 = 238,194 : x
  2. Step 2: Convert to fraction form
    157,707/238,194 = 238,194/x
  3. Step 3: Cross multiply
    157,707x = 238,194 × 238,194
  4. Step 4: Simplify right side
    157,707x = 56,736,381,636
  5. Step 5: Solve for x
    x = 56,736,381,636/157,707
  6. Step 6: Final answer
    x = 359,758.17

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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.