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Finding the Third Proportional to 147,293 and 230,418

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Solution

The third proportional to 147,293 and 230,418 is: 360,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,293 : 230,418 = 230,418 : x
  2. Step 2: Convert to fraction form
    147,293/230,418 = 230,418/x
  3. Step 3: Cross multiply
    147,293x = 230,418 × 230,418
  4. Step 4: Simplify right side
    147,293x = 53,092,454,724
  5. Step 5: Solve for x
    x = 53,092,454,724/147,293
  6. Step 6: Final answer
    x = 360,454.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.