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Finding the Third Proportional to 114,424.10 and 249,190.17

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Solution

The third proportional to 114,424.10 and 249,190.17 is: 542,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,424.10 : 249,190.17 = 249,190.17 : x
  2. Step 2: Convert to fraction form
    114,424.10/249,190.17 = 249,190.17/x
  3. Step 3: Cross multiply
    114,424.10x = 249,190.17 × 249,190.17
  4. Step 4: Simplify right side
    114,424.10x = 62,095,741,759.09
  5. Step 5: Solve for x
    x = 62,095,741,759.09/114,424.10
  6. Step 6: Final answer
    x = 542,680.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.