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Finding the Third Proportional to 175,582.13 and 264,575.25

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Solution

The third proportional to 175,582.13 and 264,575.25 is: 398,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,582.13 : 264,575.25 = 264,575.25 : x
  2. Step 2: Convert to fraction form
    175,582.13/264,575.25 = 264,575.25/x
  3. Step 3: Cross multiply
    175,582.13x = 264,575.25 × 264,575.25
  4. Step 4: Simplify right side
    175,582.13x = 70,000,062,912.56
  5. Step 5: Solve for x
    x = 70,000,062,912.56/175,582.13
  6. Step 6: Final answer
    x = 398,674.20

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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.