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Finding the Third Proportional to 249,192 and 372,756

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Solution

The third proportional to 249,192 and 372,756 is: 557,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,192 : 372,756 = 372,756 : x
  2. Step 2: Convert to fraction form
    249,192/372,756 = 372,756/x
  3. Step 3: Cross multiply
    249,192x = 372,756 × 372,756
  4. Step 4: Simplify right side
    249,192x = 138,947,035,536
  5. Step 5: Solve for x
    x = 138,947,035,536/249,192
  6. Step 6: Final answer
    x = 557,590.27

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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.