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Finding the Third Proportional to 149,655 and 323,048

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Solution

The third proportional to 149,655 and 323,048 is: 697,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,655 : 323,048 = 323,048 : x
  2. Step 2: Convert to fraction form
    149,655/323,048 = 323,048/x
  3. Step 3: Cross multiply
    149,655x = 323,048 × 323,048
  4. Step 4: Simplify right side
    149,655x = 104,360,010,304
  5. Step 5: Solve for x
    x = 104,360,010,304/149,655
  6. Step 6: Final answer
    x = 697,337.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.