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Finding the Third Proportional to 249,108.75 and 546,102

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Solution

The third proportional to 249,108.75 and 546,102 is: 1,197,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,108.75 : 546,102 = 546,102 : x
  2. Step 2: Convert to fraction form
    249,108.75/546,102 = 546,102/x
  3. Step 3: Cross multiply
    249,108.75x = 546,102 × 546,102
  4. Step 4: Simplify right side
    249,108.75x = 298,227,394,404
  5. Step 5: Solve for x
    x = 298,227,394,404/249,108.75
  6. Step 6: Final answer
    x = 1,197,177.52

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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.