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Finding the Third Proportional to 118,547.25 and 259,224.75

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Solution

The third proportional to 118,547.25 and 259,224.75 is: 566,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,547.25 : 259,224.75 = 259,224.75 : x
  2. Step 2: Convert to fraction form
    118,547.25/259,224.75 = 259,224.75/x
  3. Step 3: Cross multiply
    118,547.25x = 259,224.75 × 259,224.75
  4. Step 4: Simplify right side
    118,547.25x = 67,197,471,012.56
  5. Step 5: Solve for x
    x = 67,197,471,012.56/118,547.25
  6. Step 6: Final answer
    x = 566,841.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.