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Finding the Third Proportional to 207,963.50 and 334,816.25

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Solution

The third proportional to 207,963.50 and 334,816.25 is: 539,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963.50 : 334,816.25 = 334,816.25 : x
  2. Step 2: Convert to fraction form
    207,963.50/334,816.25 = 334,816.25/x
  3. Step 3: Cross multiply
    207,963.50x = 334,816.25 × 334,816.25
  4. Step 4: Simplify right side
    207,963.50x = 112,101,921,264.06
  5. Step 5: Solve for x
    x = 112,101,921,264.06/207,963.50
  6. Step 6: Final answer
    x = 539,046.14

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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.