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Finding the Third Proportional to 146,448 and 310,068

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Solution

The third proportional to 146,448 and 310,068 is: 656,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 310,068 = 310,068 : x
  2. Step 2: Convert to fraction form
    146,448/310,068 = 310,068/x
  3. Step 3: Cross multiply
    146,448x = 310,068 × 310,068
  4. Step 4: Simplify right side
    146,448x = 96,142,164,624
  5. Step 5: Solve for x
    x = 96,142,164,624/146,448
  6. Step 6: Final answer
    x = 656,493.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.