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Finding the Third Proportional to 147,302 and 316,404

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Solution

The third proportional to 147,302 and 316,404 is: 679,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,302 : 316,404 = 316,404 : x
  2. Step 2: Convert to fraction form
    147,302/316,404 = 316,404/x
  3. Step 3: Cross multiply
    147,302x = 316,404 × 316,404
  4. Step 4: Simplify right side
    147,302x = 100,111,491,216
  5. Step 5: Solve for x
    x = 100,111,491,216/147,302
  6. Step 6: Final answer
    x = 679,634.30

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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.