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Finding the Third Proportional to 114,426.75 and 249,195.75

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Solution

The third proportional to 114,426.75 and 249,195.75 is: 542,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426.75 : 249,195.75 = 249,195.75 : x
  2. Step 2: Convert to fraction form
    114,426.75/249,195.75 = 249,195.75/x
  3. Step 3: Cross multiply
    114,426.75x = 249,195.75 × 249,195.75
  4. Step 4: Simplify right side
    114,426.75x = 62,098,521,818.06
  5. Step 5: Solve for x
    x = 62,098,521,818.06/114,426.75
  6. Step 6: Final answer
    x = 542,692.35

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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.