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Finding the Third Proportional to 149,871.50 and 313,598

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Solution

The third proportional to 149,871.50 and 313,598 is: 656,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.50 : 313,598 = 313,598 : x
  2. Step 2: Convert to fraction form
    149,871.50/313,598 = 313,598/x
  3. Step 3: Cross multiply
    149,871.50x = 313,598 × 313,598
  4. Step 4: Simplify right side
    149,871.50x = 98,343,705,604
  5. Step 5: Solve for x
    x = 98,343,705,604/149,871.50
  6. Step 6: Final answer
    x = 656,186.84

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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.