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Finding the Third Proportional to 147,596 and 316,693

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Solution

The third proportional to 147,596 and 316,693 is: 679,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,596 : 316,693 = 316,693 : x
  2. Step 2: Convert to fraction form
    147,596/316,693 = 316,693/x
  3. Step 3: Cross multiply
    147,596x = 316,693 × 316,693
  4. Step 4: Simplify right side
    147,596x = 100,294,456,249
  5. Step 5: Solve for x
    x = 100,294,456,249/147,596
  6. Step 6: Final answer
    x = 679,520.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.