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Finding the Third Proportional to 224,101.69 and 485,541

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Solution

The third proportional to 224,101.69 and 485,541 is: 1,051,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,101.69 : 485,541 = 485,541 : x
  2. Step 2: Convert to fraction form
    224,101.69/485,541 = 485,541/x
  3. Step 3: Cross multiply
    224,101.69x = 485,541 × 485,541
  4. Step 4: Simplify right side
    224,101.69x = 235,750,062,681
  5. Step 5: Solve for x
    x = 235,750,062,681/224,101.69
  6. Step 6: Final answer
    x = 1,051,978.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.