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Finding the Third Proportional to 207,502 and 313,136

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Solution

The third proportional to 207,502 and 313,136 is: 472,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,502 : 313,136 = 313,136 : x
  2. Step 2: Convert to fraction form
    207,502/313,136 = 313,136/x
  3. Step 3: Cross multiply
    207,502x = 313,136 × 313,136
  4. Step 4: Simplify right side
    207,502x = 98,054,154,496
  5. Step 5: Solve for x
    x = 98,054,154,496/207,502
  6. Step 6: Final answer
    x = 472,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.