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Finding the Third Proportional to 149,543.13 and 229,858.50

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Solution

The third proportional to 149,543.13 and 229,858.50 is: 353,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.13 : 229,858.50 = 229,858.50 : x
  2. Step 2: Convert to fraction form
    149,543.13/229,858.50 = 229,858.50/x
  3. Step 3: Cross multiply
    149,543.13x = 229,858.50 × 229,858.50
  4. Step 4: Simplify right side
    149,543.13x = 52,834,930,022.25
  5. Step 5: Solve for x
    x = 52,834,930,022.25/149,543.13
  6. Step 6: Final answer
    x = 353,308.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.