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Finding the Third Proportional to 207,262 and 314,944

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Solution

The third proportional to 207,262 and 314,944 is: 478,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,262 : 314,944 = 314,944 : x
  2. Step 2: Convert to fraction form
    207,262/314,944 = 314,944/x
  3. Step 3: Cross multiply
    207,262x = 314,944 × 314,944
  4. Step 4: Simplify right side
    207,262x = 99,189,723,136
  5. Step 5: Solve for x
    x = 99,189,723,136/207,262
  6. Step 6: Final answer
    x = 478,571.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.