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Finding the Third Proportional to 249,196 and 372,762

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Solution

The third proportional to 249,196 and 372,762 is: 557,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,196 : 372,762 = 372,762 : x
  2. Step 2: Convert to fraction form
    249,196/372,762 = 372,762/x
  3. Step 3: Cross multiply
    249,196x = 372,762 × 372,762
  4. Step 4: Simplify right side
    249,196x = 138,951,508,644
  5. Step 5: Solve for x
    x = 138,951,508,644/249,196
  6. Step 6: Final answer
    x = 557,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.