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Finding the Third Proportional to 169,586 and 249,179

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Solution

The third proportional to 169,586 and 249,179 is: 366,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,586 : 249,179 = 249,179 : x
  2. Step 2: Convert to fraction form
    169,586/249,179 = 249,179/x
  3. Step 3: Cross multiply
    169,586x = 249,179 × 249,179
  4. Step 4: Simplify right side
    169,586x = 62,090,174,041
  5. Step 5: Solve for x
    x = 62,090,174,041/169,586
  6. Step 6: Final answer
    x = 366,127.95

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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.