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Finding the Third Proportional to 179,665 and 249,812

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Solution

The third proportional to 179,665 and 249,812 is: 347,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,665 : 249,812 = 249,812 : x
  2. Step 2: Convert to fraction form
    179,665/249,812 = 249,812/x
  3. Step 3: Cross multiply
    179,665x = 249,812 × 249,812
  4. Step 4: Simplify right side
    179,665x = 62,406,035,344
  5. Step 5: Solve for x
    x = 62,406,035,344/179,665
  6. Step 6: Final answer
    x = 347,346.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.