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Finding the Third Proportional to 157,569 and 226,511

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Solution

The third proportional to 157,569 and 226,511 is: 325,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,569 : 226,511 = 226,511 : x
  2. Step 2: Convert to fraction form
    157,569/226,511 = 226,511/x
  3. Step 3: Cross multiply
    157,569x = 226,511 × 226,511
  4. Step 4: Simplify right side
    157,569x = 51,307,233,121
  5. Step 5: Solve for x
    x = 51,307,233,121/157,569
  6. Step 6: Final answer
    x = 325,617.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.