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Finding the Third Proportional to 207,895.50 and 334,811.25

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Solution

The third proportional to 207,895.50 and 334,811.25 is: 539,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,895.50 : 334,811.25 = 334,811.25 : x
  2. Step 2: Convert to fraction form
    207,895.50/334,811.25 = 334,811.25/x
  3. Step 3: Cross multiply
    207,895.50x = 334,811.25 × 334,811.25
  4. Step 4: Simplify right side
    207,895.50x = 112,098,573,126.56
  5. Step 5: Solve for x
    x = 112,098,573,126.56/207,895.50
  6. Step 6: Final answer
    x = 539,206.35

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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.