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Finding the Third Proportional to 85,417.88 and 170,734.50

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Solution

The third proportional to 85,417.88 and 170,734.50 is: 341,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.88 : 170,734.50 = 170,734.50 : x
  2. Step 2: Convert to fraction form
    85,417.88/170,734.50 = 170,734.50/x
  3. Step 3: Cross multiply
    85,417.88x = 170,734.50 × 170,734.50
  4. Step 4: Simplify right side
    85,417.88x = 29,150,269,490.25
  5. Step 5: Solve for x
    x = 29,150,269,490.25/85,417.88
  6. Step 6: Final answer
    x = 341,266.62

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.