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Finding the Third Proportional to 191,232 and 280,260

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Solution

The third proportional to 191,232 and 280,260 is: 410,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 280,260 = 280,260 : x
  2. Step 2: Convert to fraction form
    191,232/280,260 = 280,260/x
  3. Step 3: Cross multiply
    191,232x = 280,260 × 280,260
  4. Step 4: Simplify right side
    191,232x = 78,545,667,600
  5. Step 5: Solve for x
    x = 78,545,667,600/191,232
  6. Step 6: Final answer
    x = 410,734.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.