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Finding the Third Proportional to 207,824.63 and 334,687.50

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Solution

The third proportional to 207,824.63 and 334,687.50 is: 538,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824.63 : 334,687.50 = 334,687.50 : x
  2. Step 2: Convert to fraction form
    207,824.63/334,687.50 = 334,687.50/x
  3. Step 3: Cross multiply
    207,824.63x = 334,687.50 × 334,687.50
  4. Step 4: Simplify right side
    207,824.63x = 112,015,722,656.25
  5. Step 5: Solve for x
    x = 112,015,722,656.25/207,824.63
  6. Step 6: Final answer
    x = 538,991.58

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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.