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Finding the Third Proportional to 147,940 and 226,854

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Solution

The third proportional to 147,940 and 226,854 is: 347,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,940 : 226,854 = 226,854 : x
  2. Step 2: Convert to fraction form
    147,940/226,854 = 226,854/x
  3. Step 3: Cross multiply
    147,940x = 226,854 × 226,854
  4. Step 4: Simplify right side
    147,940x = 51,462,737,316
  5. Step 5: Solve for x
    x = 51,462,737,316/147,940
  6. Step 6: Final answer
    x = 347,862.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.