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Finding the Third Proportional to 207,938 and 334,875

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Solution

The third proportional to 207,938 and 334,875 is: 539,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938 : 334,875 = 334,875 : x
  2. Step 2: Convert to fraction form
    207,938/334,875 = 334,875/x
  3. Step 3: Cross multiply
    207,938x = 334,875 × 334,875
  4. Step 4: Simplify right side
    207,938x = 112,141,265,625
  5. Step 5: Solve for x
    x = 112,141,265,625/207,938
  6. Step 6: Final answer
    x = 539,301.45

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Why These Related Problems?

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