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Finding the Third Proportional to 149,706 and 220,177.13

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Solution

The third proportional to 149,706 and 220,177.13 is: 323,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706 : 220,177.13 = 220,177.13 : x
  2. Step 2: Convert to fraction form
    149,706/220,177.13 = 220,177.13/x
  3. Step 3: Cross multiply
    149,706x = 220,177.13 × 220,177.13
  4. Step 4: Simplify right side
    149,706x = 48,477,966,373.27
  5. Step 5: Solve for x
    x = 48,477,966,373.27/149,706
  6. Step 6: Final answer
    x = 323,821.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.