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Finding the Third Proportional to 115,149.50 and 249,967.75

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Solution

The third proportional to 115,149.50 and 249,967.75 is: 542,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,149.50 : 249,967.75 = 249,967.75 : x
  2. Step 2: Convert to fraction form
    115,149.50/249,967.75 = 249,967.75/x
  3. Step 3: Cross multiply
    115,149.50x = 249,967.75 × 249,967.75
  4. Step 4: Simplify right side
    115,149.50x = 62,483,876,040.06
  5. Step 5: Solve for x
    x = 62,483,876,040.06/115,149.50
  6. Step 6: Final answer
    x = 542,632.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.