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Finding the Third Proportional to 175,925.25 and 283,260.38

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Solution

The third proportional to 175,925.25 and 283,260.38 is: 456,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,925.25 : 283,260.38 = 283,260.38 : x
  2. Step 2: Convert to fraction form
    175,925.25/283,260.38 = 283,260.38/x
  3. Step 3: Cross multiply
    175,925.25x = 283,260.38 × 283,260.38
  4. Step 4: Simplify right side
    175,925.25x = 80,236,440,045.14
  5. Step 5: Solve for x
    x = 80,236,440,045.14/175,925.25
  6. Step 6: Final answer
    x = 456,082.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.