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Finding the Third Proportional to 261,832.50 and 382,522.50

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Solution

The third proportional to 261,832.50 and 382,522.50 is: 558,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,832.50 : 382,522.50 = 382,522.50 : x
  2. Step 2: Convert to fraction form
    261,832.50/382,522.50 = 382,522.50/x
  3. Step 3: Cross multiply
    261,832.50x = 382,522.50 × 382,522.50
  4. Step 4: Simplify right side
    261,832.50x = 146,323,463,006.25
  5. Step 5: Solve for x
    x = 146,323,463,006.25/261,832.50
  6. Step 6: Final answer
    x = 558,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.