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Finding the Third Proportional to 175,674 and 385,494

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Solution

The third proportional to 175,674 and 385,494 is: 845,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,674 : 385,494 = 385,494 : x
  2. Step 2: Convert to fraction form
    175,674/385,494 = 385,494/x
  3. Step 3: Cross multiply
    175,674x = 385,494 × 385,494
  4. Step 4: Simplify right side
    175,674x = 148,605,624,036
  5. Step 5: Solve for x
    x = 148,605,624,036/175,674
  6. Step 6: Final answer
    x = 845,917.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.