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Finding the Third Proportional to 224,765 and 316,170

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Solution

The third proportional to 224,765 and 316,170 is: 444,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,765 : 316,170 = 316,170 : x
  2. Step 2: Convert to fraction form
    224,765/316,170 = 316,170/x
  3. Step 3: Cross multiply
    224,765x = 316,170 × 316,170
  4. Step 4: Simplify right side
    224,765x = 99,963,468,900
  5. Step 5: Solve for x
    x = 99,963,468,900/224,765
  6. Step 6: Final answer
    x = 444,746.60

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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.