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Finding the Third Proportional to 98,331 and 149,310

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Solution

The third proportional to 98,331 and 149,310 is: 226,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,331 : 149,310 = 149,310 : x
  2. Step 2: Convert to fraction form
    98,331/149,310 = 149,310/x
  3. Step 3: Cross multiply
    98,331x = 149,310 × 149,310
  4. Step 4: Simplify right side
    98,331x = 22,293,476,100
  5. Step 5: Solve for x
    x = 22,293,476,100/98,331
  6. Step 6: Final answer
    x = 226,718.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.