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Finding the Third Proportional to 147,796 and 316,592

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Solution

The third proportional to 147,796 and 316,592 is: 678,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,796 : 316,592 = 316,592 : x
  2. Step 2: Convert to fraction form
    147,796/316,592 = 316,592/x
  3. Step 3: Cross multiply
    147,796x = 316,592 × 316,592
  4. Step 4: Simplify right side
    147,796x = 100,230,494,464
  5. Step 5: Solve for x
    x = 100,230,494,464/147,796
  6. Step 6: Final answer
    x = 678,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.