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Finding the Third Proportional to 114,458 and 168,380

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Solution

The third proportional to 114,458 and 168,380 is: 247,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458 : 168,380 = 168,380 : x
  2. Step 2: Convert to fraction form
    114,458/168,380 = 168,380/x
  3. Step 3: Cross multiply
    114,458x = 168,380 × 168,380
  4. Step 4: Simplify right side
    114,458x = 28,351,824,400
  5. Step 5: Solve for x
    x = 28,351,824,400/114,458
  6. Step 6: Final answer
    x = 247,705.05

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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.