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Finding the Third Proportional to 131,760 and 288,124

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Solution

The third proportional to 131,760 and 288,124 is: 630,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,760 : 288,124 = 288,124 : x
  2. Step 2: Convert to fraction form
    131,760/288,124 = 288,124/x
  3. Step 3: Cross multiply
    131,760x = 288,124 × 288,124
  4. Step 4: Simplify right side
    131,760x = 83,015,439,376
  5. Step 5: Solve for x
    x = 83,015,439,376/131,760
  6. Step 6: Final answer
    x = 630,050.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.