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Finding the Third Proportional to 187,292.25 and 411,871.50

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Solution

The third proportional to 187,292.25 and 411,871.50 is: 905,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,292.25 : 411,871.50 = 411,871.50 : x
  2. Step 2: Convert to fraction form
    187,292.25/411,871.50 = 411,871.50/x
  3. Step 3: Cross multiply
    187,292.25x = 411,871.50 × 411,871.50
  4. Step 4: Simplify right side
    187,292.25x = 169,638,132,512.25
  5. Step 5: Solve for x
    x = 169,638,132,512.25/187,292.25
  6. Step 6: Final answer
    x = 905,740.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.