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Finding the Third Proportional to 164,531.25 and 240,561

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Solution

The third proportional to 164,531.25 and 240,561 is: 351,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,531.25 : 240,561 = 240,561 : x
  2. Step 2: Convert to fraction form
    164,531.25/240,561 = 240,561/x
  3. Step 3: Cross multiply
    164,531.25x = 240,561 × 240,561
  4. Step 4: Simplify right side
    164,531.25x = 57,869,594,721
  5. Step 5: Solve for x
    x = 57,869,594,721/164,531.25
  6. Step 6: Final answer
    x = 351,724.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.