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Finding the Third Proportional to 116,586 and 249,166.13

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Solution

The third proportional to 116,586 and 249,166.13 is: 532,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586 : 249,166.13 = 249,166.13 : x
  2. Step 2: Convert to fraction form
    116,586/249,166.13 = 249,166.13/x
  3. Step 3: Cross multiply
    116,586x = 249,166.13 × 249,166.13
  4. Step 4: Simplify right side
    116,586x = 62,083,757,847.52
  5. Step 5: Solve for x
    x = 62,083,757,847.52/116,586
  6. Step 6: Final answer
    x = 532,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.