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Finding the Third Proportional to 114,608.25 and 249,140.25

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Solution

The third proportional to 114,608.25 and 249,140.25 is: 541,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,608.25 : 249,140.25 = 249,140.25 : x
  2. Step 2: Convert to fraction form
    114,608.25/249,140.25 = 249,140.25/x
  3. Step 3: Cross multiply
    114,608.25x = 249,140.25 × 249,140.25
  4. Step 4: Simplify right side
    114,608.25x = 62,070,864,170.06
  5. Step 5: Solve for x
    x = 62,070,864,170.06/114,608.25
  6. Step 6: Final answer
    x = 541,591.59

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Why These Related Problems?

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