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Finding the Third Proportional to 232,267.50 and 327,069

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Solution

The third proportional to 232,267.50 and 327,069 is: 460,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,267.50 : 327,069 = 327,069 : x
  2. Step 2: Convert to fraction form
    232,267.50/327,069 = 327,069/x
  3. Step 3: Cross multiply
    232,267.50x = 327,069 × 327,069
  4. Step 4: Simplify right side
    232,267.50x = 106,974,130,761
  5. Step 5: Solve for x
    x = 106,974,130,761/232,267.50
  6. Step 6: Final answer
    x = 460,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.