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Finding the Third Proportional to 115,166 and 249,195.50

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Solution

The third proportional to 115,166 and 249,195.50 is: 539,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,166 : 249,195.50 = 249,195.50 : x
  2. Step 2: Convert to fraction form
    115,166/249,195.50 = 249,195.50/x
  3. Step 3: Cross multiply
    115,166x = 249,195.50 × 249,195.50
  4. Step 4: Simplify right side
    115,166x = 62,098,397,220.25
  5. Step 5: Solve for x
    x = 62,098,397,220.25/115,166
  6. Step 6: Final answer
    x = 539,207.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.