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Finding the Third Proportional to 191,569 and 416,297

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Solution

The third proportional to 191,569 and 416,297 is: 904,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569 : 416,297 = 416,297 : x
  2. Step 2: Convert to fraction form
    191,569/416,297 = 416,297/x
  3. Step 3: Cross multiply
    191,569x = 416,297 × 416,297
  4. Step 4: Simplify right side
    191,569x = 173,303,192,209
  5. Step 5: Solve for x
    x = 173,303,192,209/191,569
  6. Step 6: Final answer
    x = 904,651.55

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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.