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Finding the Third Proportional to 178,624 and 249,744

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Solution

The third proportional to 178,624 and 249,744 is: 349,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,624 : 249,744 = 249,744 : x
  2. Step 2: Convert to fraction form
    178,624/249,744 = 249,744/x
  3. Step 3: Cross multiply
    178,624x = 249,744 × 249,744
  4. Step 4: Simplify right side
    178,624x = 62,372,065,536
  5. Step 5: Solve for x
    x = 62,372,065,536/178,624
  6. Step 6: Final answer
    x = 349,180.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.