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Finding the Third Proportional to 231,760 and 330,584

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Solution

The third proportional to 231,760 and 330,584 is: 471,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,760 : 330,584 = 330,584 : x
  2. Step 2: Convert to fraction form
    231,760/330,584 = 330,584/x
  3. Step 3: Cross multiply
    231,760x = 330,584 × 330,584
  4. Step 4: Simplify right side
    231,760x = 109,285,781,056
  5. Step 5: Solve for x
    x = 109,285,781,056/231,760
  6. Step 6: Final answer
    x = 471,547.21

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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.