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Finding the Third Proportional to 148,977.50 and 212,816.25

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Solution

The third proportional to 148,977.50 and 212,816.25 is: 304,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,977.50 : 212,816.25 = 212,816.25 : x
  2. Step 2: Convert to fraction form
    148,977.50/212,816.25 = 212,816.25/x
  3. Step 3: Cross multiply
    148,977.50x = 212,816.25 × 212,816.25
  4. Step 4: Simplify right side
    148,977.50x = 45,290,756,264.06
  5. Step 5: Solve for x
    x = 45,290,756,264.06/148,977.50
  6. Step 6: Final answer
    x = 304,010.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.