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Finding the Third Proportional to 140,152 and 315,388

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Solution

The third proportional to 140,152 and 315,388 is: 709,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,152 : 315,388 = 315,388 : x
  2. Step 2: Convert to fraction form
    140,152/315,388 = 315,388/x
  3. Step 3: Cross multiply
    140,152x = 315,388 × 315,388
  4. Step 4: Simplify right side
    140,152x = 99,469,590,544
  5. Step 5: Solve for x
    x = 99,469,590,544/140,152
  6. Step 6: Final answer
    x = 709,726.52

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.