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Finding the Third Proportional to 147,881 and 231,681

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Solution

The third proportional to 147,881 and 231,681 is: 362,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,881 : 231,681 = 231,681 : x
  2. Step 2: Convert to fraction form
    147,881/231,681 = 231,681/x
  3. Step 3: Cross multiply
    147,881x = 231,681 × 231,681
  4. Step 4: Simplify right side
    147,881x = 53,676,085,761
  5. Step 5: Solve for x
    x = 53,676,085,761/147,881
  6. Step 6: Final answer
    x = 362,968.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.