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Finding the Third Proportional to 249,432.75 and 547,156.69

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Solution

The third proportional to 249,432.75 and 547,156.69 is: 1,200,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,432.75 : 547,156.69 = 547,156.69 : x
  2. Step 2: Convert to fraction form
    249,432.75/547,156.69 = 547,156.69/x
  3. Step 3: Cross multiply
    249,432.75x = 547,156.69 × 547,156.69
  4. Step 4: Simplify right side
    249,432.75x = 299,380,440,675.97
  5. Step 5: Solve for x
    x = 299,380,440,675.97/249,432.75
  6. Step 6: Final answer
    x = 1,200,245.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.