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Finding the Third Proportional to 147,304 and 316,408

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Solution

The third proportional to 147,304 and 316,408 is: 679,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,304 : 316,408 = 316,408 : x
  2. Step 2: Convert to fraction form
    147,304/316,408 = 316,408/x
  3. Step 3: Cross multiply
    147,304x = 316,408 × 316,408
  4. Step 4: Simplify right side
    147,304x = 100,114,022,464
  5. Step 5: Solve for x
    x = 100,114,022,464/147,304
  6. Step 6: Final answer
    x = 679,642.25

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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.