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Finding the Third Proportional to 154,839 and 226,285.50

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Solution

The third proportional to 154,839 and 226,285.50 is: 330,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,839 : 226,285.50 = 226,285.50 : x
  2. Step 2: Convert to fraction form
    154,839/226,285.50 = 226,285.50/x
  3. Step 3: Cross multiply
    154,839x = 226,285.50 × 226,285.50
  4. Step 4: Simplify right side
    154,839x = 51,205,127,510.25
  5. Step 5: Solve for x
    x = 51,205,127,510.25/154,839
  6. Step 6: Final answer
    x = 330,699.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.