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Finding the Third Proportional to 148,330.50 and 328,692

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Solution

The third proportional to 148,330.50 and 328,692 is: 728,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,330.50 : 328,692 = 328,692 : x
  2. Step 2: Convert to fraction form
    148,330.50/328,692 = 328,692/x
  3. Step 3: Cross multiply
    148,330.50x = 328,692 × 328,692
  4. Step 4: Simplify right side
    148,330.50x = 108,038,430,864
  5. Step 5: Solve for x
    x = 108,038,430,864/148,330.50
  6. Step 6: Final answer
    x = 728,362.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.