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Finding the Third Proportional to 175,464 and 244,474.50

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Solution

The third proportional to 175,464 and 244,474.50 is: 340,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,464 : 244,474.50 = 244,474.50 : x
  2. Step 2: Convert to fraction form
    175,464/244,474.50 = 244,474.50/x
  3. Step 3: Cross multiply
    175,464x = 244,474.50 × 244,474.50
  4. Step 4: Simplify right side
    175,464x = 59,767,781,150.25
  5. Step 5: Solve for x
    x = 59,767,781,150.25/175,464
  6. Step 6: Final answer
    x = 340,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.