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Finding the Third Proportional to 210,171.25 and 334,586

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Solution

The third proportional to 210,171.25 and 334,586 is: 532,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,171.25 : 334,586 = 334,586 : x
  2. Step 2: Convert to fraction form
    210,171.25/334,586 = 334,586/x
  3. Step 3: Cross multiply
    210,171.25x = 334,586 × 334,586
  4. Step 4: Simplify right side
    210,171.25x = 111,947,791,396
  5. Step 5: Solve for x
    x = 111,947,791,396/210,171.25
  6. Step 6: Final answer
    x = 532,650.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.