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Finding the Third Proportional to 157,738 and 241,332

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Solution

The third proportional to 157,738 and 241,332 is: 369,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,738 : 241,332 = 241,332 : x
  2. Step 2: Convert to fraction form
    157,738/241,332 = 241,332/x
  3. Step 3: Cross multiply
    157,738x = 241,332 × 241,332
  4. Step 4: Simplify right side
    157,738x = 58,241,134,224
  5. Step 5: Solve for x
    x = 58,241,134,224/157,738
  6. Step 6: Final answer
    x = 369,227.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.