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Finding the Third Proportional to 119,975 and 262,550

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Solution

The third proportional to 119,975 and 262,550 is: 574,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,975 : 262,550 = 262,550 : x
  2. Step 2: Convert to fraction form
    119,975/262,550 = 262,550/x
  3. Step 3: Cross multiply
    119,975x = 262,550 × 262,550
  4. Step 4: Simplify right side
    119,975x = 68,932,502,500
  5. Step 5: Solve for x
    x = 68,932,502,500/119,975
  6. Step 6: Final answer
    x = 574,557.22

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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.