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Finding the Third Proportional to 207,364 and 310,978

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Solution

The third proportional to 207,364 and 310,978 is: 466,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 310,978 = 310,978 : x
  2. Step 2: Convert to fraction form
    207,364/310,978 = 310,978/x
  3. Step 3: Cross multiply
    207,364x = 310,978 × 310,978
  4. Step 4: Simplify right side
    207,364x = 96,707,316,484
  5. Step 5: Solve for x
    x = 96,707,316,484/207,364
  6. Step 6: Final answer
    x = 466,365.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.