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Finding the Third Proportional to 106,657.50 and 230,418

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Solution

The third proportional to 106,657.50 and 230,418 is: 497,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657.50 : 230,418 = 230,418 : x
  2. Step 2: Convert to fraction form
    106,657.50/230,418 = 230,418/x
  3. Step 3: Cross multiply
    106,657.50x = 230,418 × 230,418
  4. Step 4: Simplify right side
    106,657.50x = 53,092,454,724
  5. Step 5: Solve for x
    x = 53,092,454,724/106,657.50
  6. Step 6: Final answer
    x = 497,784.54

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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.