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Finding the Third Proportional to 169,486 and 249,045

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Solution

The third proportional to 169,486 and 249,045 is: 365,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,486 : 249,045 = 249,045 : x
  2. Step 2: Convert to fraction form
    169,486/249,045 = 249,045/x
  3. Step 3: Cross multiply
    169,486x = 249,045 × 249,045
  4. Step 4: Simplify right side
    169,486x = 62,023,412,025
  5. Step 5: Solve for x
    x = 62,023,412,025/169,486
  6. Step 6: Final answer
    x = 365,950.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.