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Finding the Third Proportional to 253,110 and 375,774

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Solution

The third proportional to 253,110 and 375,774 is: 557,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,110 : 375,774 = 375,774 : x
  2. Step 2: Convert to fraction form
    253,110/375,774 = 375,774/x
  3. Step 3: Cross multiply
    253,110x = 375,774 × 375,774
  4. Step 4: Simplify right side
    253,110x = 141,206,099,076
  5. Step 5: Solve for x
    x = 141,206,099,076/253,110
  6. Step 6: Final answer
    x = 557,884.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.