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Finding the Third Proportional to 146,200 and 313,136

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Solution

The third proportional to 146,200 and 313,136 is: 670,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200 : 313,136 = 313,136 : x
  2. Step 2: Convert to fraction form
    146,200/313,136 = 313,136/x
  3. Step 3: Cross multiply
    146,200x = 313,136 × 313,136
  4. Step 4: Simplify right side
    146,200x = 98,054,154,496
  5. Step 5: Solve for x
    x = 98,054,154,496/146,200
  6. Step 6: Final answer
    x = 670,685.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.