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Finding the Third Proportional to 113,921.25 and 249,287.25

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Solution

The third proportional to 113,921.25 and 249,287.25 is: 545,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,921.25 : 249,287.25 = 249,287.25 : x
  2. Step 2: Convert to fraction form
    113,921.25/249,287.25 = 249,287.25/x
  3. Step 3: Cross multiply
    113,921.25x = 249,287.25 × 249,287.25
  4. Step 4: Simplify right side
    113,921.25x = 62,144,133,012.56
  5. Step 5: Solve for x
    x = 62,144,133,012.56/113,921.25
  6. Step 6: Final answer
    x = 545,500.80

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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.