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Finding the Third Proportional to 154,413 and 234,616.50

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Solution

The third proportional to 154,413 and 234,616.50 is: 356,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,413 : 234,616.50 = 234,616.50 : x
  2. Step 2: Convert to fraction form
    154,413/234,616.50 = 234,616.50/x
  3. Step 3: Cross multiply
    154,413x = 234,616.50 × 234,616.50
  4. Step 4: Simplify right side
    154,413x = 55,044,902,072.25
  5. Step 5: Solve for x
    x = 55,044,902,072.25/154,413
  6. Step 6: Final answer
    x = 356,478.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.