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Finding the Third Proportional to 249,674 and 365,167

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Solution

The third proportional to 249,674 and 365,167 is: 534,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,674 : 365,167 = 365,167 : x
  2. Step 2: Convert to fraction form
    249,674/365,167 = 365,167/x
  3. Step 3: Cross multiply
    249,674x = 365,167 × 365,167
  4. Step 4: Simplify right side
    249,674x = 133,346,937,889
  5. Step 5: Solve for x
    x = 133,346,937,889/249,674
  6. Step 6: Final answer
    x = 534,084.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.