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Finding the Third Proportional to 114,485 and 168,414.75

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Solution

The third proportional to 114,485 and 168,414.75 is: 247,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,485 : 168,414.75 = 168,414.75 : x
  2. Step 2: Convert to fraction form
    114,485/168,414.75 = 168,414.75/x
  3. Step 3: Cross multiply
    114,485x = 168,414.75 × 168,414.75
  4. Step 4: Simplify right side
    114,485x = 28,363,528,017.56
  5. Step 5: Solve for x
    x = 28,363,528,017.56/114,485
  6. Step 6: Final answer
    x = 247,748.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.