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Finding the Third Proportional to 144,348 and 226,755

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Solution

The third proportional to 144,348 and 226,755 is: 356,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,348 : 226,755 = 226,755 : x
  2. Step 2: Convert to fraction form
    144,348/226,755 = 226,755/x
  3. Step 3: Cross multiply
    144,348x = 226,755 × 226,755
  4. Step 4: Simplify right side
    144,348x = 51,417,830,025
  5. Step 5: Solve for x
    x = 51,417,830,025/144,348
  6. Step 6: Final answer
    x = 356,207.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.