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Finding the Third Proportional to 147,394 and 315,814

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Solution

The third proportional to 147,394 and 315,814 is: 676,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,394 : 315,814 = 315,814 : x
  2. Step 2: Convert to fraction form
    147,394/315,814 = 315,814/x
  3. Step 3: Cross multiply
    147,394x = 315,814 × 315,814
  4. Step 4: Simplify right side
    147,394x = 99,738,482,596
  5. Step 5: Solve for x
    x = 99,738,482,596/147,394
  6. Step 6: Final answer
    x = 676,679.39

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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.