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Finding the Third Proportional to 136,621.50 and 280,047

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Solution

The third proportional to 136,621.50 and 280,047 is: 574,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,621.50 : 280,047 = 280,047 : x
  2. Step 2: Convert to fraction form
    136,621.50/280,047 = 280,047/x
  3. Step 3: Cross multiply
    136,621.50x = 280,047 × 280,047
  4. Step 4: Simplify right side
    136,621.50x = 78,426,322,209
  5. Step 5: Solve for x
    x = 78,426,322,209/136,621.50
  6. Step 6: Final answer
    x = 574,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.