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Finding the Third Proportional to 249,202 and 372,771

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Solution

The third proportional to 249,202 and 372,771 is: 557,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,202 : 372,771 = 372,771 : x
  2. Step 2: Convert to fraction form
    249,202/372,771 = 372,771/x
  3. Step 3: Cross multiply
    249,202x = 372,771 × 372,771
  4. Step 4: Simplify right side
    249,202x = 138,958,218,441
  5. Step 5: Solve for x
    x = 138,958,218,441/249,202
  6. Step 6: Final answer
    x = 557,612.77

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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.