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Finding the Third Proportional to 175,034 and 265,690

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Solution

The third proportional to 175,034 and 265,690 is: 403,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,034 : 265,690 = 265,690 : x
  2. Step 2: Convert to fraction form
    175,034/265,690 = 265,690/x
  3. Step 3: Cross multiply
    175,034x = 265,690 × 265,690
  4. Step 4: Simplify right side
    175,034x = 70,591,176,100
  5. Step 5: Solve for x
    x = 70,591,176,100/175,034
  6. Step 6: Final answer
    x = 403,299.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.