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Finding the Third Proportional to 169,512 and 249,012

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Solution

The third proportional to 169,512 and 249,012 is: 365,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,512 : 249,012 = 249,012 : x
  2. Step 2: Convert to fraction form
    169,512/249,012 = 249,012/x
  3. Step 3: Cross multiply
    169,512x = 249,012 × 249,012
  4. Step 4: Simplify right side
    169,512x = 62,006,976,144
  5. Step 5: Solve for x
    x = 62,006,976,144/169,512
  6. Step 6: Final answer
    x = 365,796.97

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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.