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Finding the Third Proportional to 232,954.50 and 349,071

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Solution

The third proportional to 232,954.50 and 349,071 is: 523,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,954.50 : 349,071 = 349,071 : x
  2. Step 2: Convert to fraction form
    232,954.50/349,071 = 349,071/x
  3. Step 3: Cross multiply
    232,954.50x = 349,071 × 349,071
  4. Step 4: Simplify right side
    232,954.50x = 121,850,563,041
  5. Step 5: Solve for x
    x = 121,850,563,041/232,954.50
  6. Step 6: Final answer
    x = 523,065.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.