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Finding the Third Proportional to 240,176 and 521,376

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Solution

The third proportional to 240,176 and 521,376 is: 1,131,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,176 : 521,376 = 521,376 : x
  2. Step 2: Convert to fraction form
    240,176/521,376 = 521,376/x
  3. Step 3: Cross multiply
    240,176x = 521,376 × 521,376
  4. Step 4: Simplify right side
    240,176x = 271,832,933,376
  5. Step 5: Solve for x
    x = 271,832,933,376/240,176
  6. Step 6: Final answer
    x = 1,131,807.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.