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Finding the Third Proportional to 224,767 and 316,173

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Solution

The third proportional to 224,767 and 316,173 is: 444,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,767 : 316,173 = 316,173 : x
  2. Step 2: Convert to fraction form
    224,767/316,173 = 316,173/x
  3. Step 3: Cross multiply
    224,767x = 316,173 × 316,173
  4. Step 4: Simplify right side
    224,767x = 99,965,365,929
  5. Step 5: Solve for x
    x = 99,965,365,929/224,767
  6. Step 6: Final answer
    x = 444,751.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.