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Finding the Third Proportional to 157,881 and 341,035

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Solution

The third proportional to 157,881 and 341,035 is: 736,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881 : 341,035 = 341,035 : x
  2. Step 2: Convert to fraction form
    157,881/341,035 = 341,035/x
  3. Step 3: Cross multiply
    157,881x = 341,035 × 341,035
  4. Step 4: Simplify right side
    157,881x = 116,304,871,225
  5. Step 5: Solve for x
    x = 116,304,871,225/157,881
  6. Step 6: Final answer
    x = 736,661.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.