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Finding the Third Proportional to 145,567.13 and 200,449.69

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Solution

The third proportional to 145,567.13 and 200,449.69 is: 276,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,567.13 : 200,449.69 = 200,449.69 : x
  2. Step 2: Convert to fraction form
    145,567.13/200,449.69 = 200,449.69/x
  3. Step 3: Cross multiply
    145,567.13x = 200,449.69 × 200,449.69
  4. Step 4: Simplify right side
    145,567.13x = 40,180,077,218.85
  5. Step 5: Solve for x
    x = 40,180,077,218.85/145,567.13
  6. Step 6: Final answer
    x = 276,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.