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Finding the Third Proportional to 224,970 and 316,407

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Solution

The third proportional to 224,970 and 316,407 is: 445,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,970 : 316,407 = 316,407 : x
  2. Step 2: Convert to fraction form
    224,970/316,407 = 316,407/x
  3. Step 3: Cross multiply
    224,970x = 316,407 × 316,407
  4. Step 4: Simplify right side
    224,970x = 100,113,389,649
  5. Step 5: Solve for x
    x = 100,113,389,649/224,970
  6. Step 6: Final answer
    x = 445,007.73

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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.