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Finding the Third Proportional to 175,466.25 and 264,446.44

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Solution

The third proportional to 175,466.25 and 264,446.44 is: 398,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,466.25 : 264,446.44 = 264,446.44 : x
  2. Step 2: Convert to fraction form
    175,466.25/264,446.44 = 264,446.44/x
  3. Step 3: Cross multiply
    175,466.25x = 264,446.44 × 264,446.44
  4. Step 4: Simplify right side
    175,466.25x = 69,931,918,306.44
  5. Step 5: Solve for x
    x = 69,931,918,306.44/175,466.25
  6. Step 6: Final answer
    x = 398,549.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.