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Finding the Third Proportional to 149,871 and 313,597

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Solution

The third proportional to 149,871 and 313,597 is: 656,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871 : 313,597 = 313,597 : x
  2. Step 2: Convert to fraction form
    149,871/313,597 = 313,597/x
  3. Step 3: Cross multiply
    149,871x = 313,597 × 313,597
  4. Step 4: Simplify right side
    149,871x = 98,343,078,409
  5. Step 5: Solve for x
    x = 98,343,078,409/149,871
  6. Step 6: Final answer
    x = 656,184.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.