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Finding the Third Proportional to 224,864 and 336,080

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Solution

The third proportional to 224,864 and 336,080 is: 502,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,864 : 336,080 = 336,080 : x
  2. Step 2: Convert to fraction form
    224,864/336,080 = 336,080/x
  3. Step 3: Cross multiply
    224,864x = 336,080 × 336,080
  4. Step 4: Simplify right side
    224,864x = 112,949,766,400
  5. Step 5: Solve for x
    x = 112,949,766,400/224,864
  6. Step 6: Final answer
    x = 502,302.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.