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Finding the Third Proportional to 175,113 and 365,292

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Solution

The third proportional to 175,113 and 365,292 is: 762,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,113 : 365,292 = 365,292 : x
  2. Step 2: Convert to fraction form
    175,113/365,292 = 365,292/x
  3. Step 3: Cross multiply
    175,113x = 365,292 × 365,292
  4. Step 4: Simplify right side
    175,113x = 133,438,245,264
  5. Step 5: Solve for x
    x = 133,438,245,264/175,113
  6. Step 6: Final answer
    x = 762,012.22

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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.