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Finding the Third Proportional to 207,878 and 334,785

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Solution

The third proportional to 207,878 and 334,785 is: 539,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878 : 334,785 = 334,785 : x
  2. Step 2: Convert to fraction form
    207,878/334,785 = 334,785/x
  3. Step 3: Cross multiply
    207,878x = 334,785 × 334,785
  4. Step 4: Simplify right side
    207,878x = 112,080,996,225
  5. Step 5: Solve for x
    x = 112,080,996,225/207,878
  6. Step 6: Final answer
    x = 539,167.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.