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Finding the Third Proportional to 335,193.75 and 468,871.88

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Solution

The third proportional to 335,193.75 and 468,871.88 is: 655,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,193.75 : 468,871.88 = 468,871.88 : x
  2. Step 2: Convert to fraction form
    335,193.75/468,871.88 = 468,871.88/x
  3. Step 3: Cross multiply
    335,193.75x = 468,871.88 × 468,871.88
  4. Step 4: Simplify right side
    335,193.75x = 219,840,835,166.02
  5. Step 5: Solve for x
    x = 219,840,835,166.02/335,193.75
  6. Step 6: Final answer
    x = 655,861.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.