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Finding the Third Proportional to 144,281.50 and 215,614

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Solution

The third proportional to 144,281.50 and 215,614 is: 322,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281.50 : 215,614 = 215,614 : x
  2. Step 2: Convert to fraction form
    144,281.50/215,614 = 215,614/x
  3. Step 3: Cross multiply
    144,281.50x = 215,614 × 215,614
  4. Step 4: Simplify right side
    144,281.50x = 46,489,396,996
  5. Step 5: Solve for x
    x = 46,489,396,996/144,281.50
  6. Step 6: Final answer
    x = 322,213.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.