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Finding the Third Proportional to 185,569 and 413,636

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Solution

The third proportional to 185,569 and 413,636 is: 922,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,569 : 413,636 = 413,636 : x
  2. Step 2: Convert to fraction form
    185,569/413,636 = 413,636/x
  3. Step 3: Cross multiply
    185,569x = 413,636 × 413,636
  4. Step 4: Simplify right side
    185,569x = 171,094,740,496
  5. Step 5: Solve for x
    x = 171,094,740,496/185,569
  6. Step 6: Final answer
    x = 922,000.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.