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Finding the Third Proportional to 170,850 and 262,966.50

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Solution

The third proportional to 170,850 and 262,966.50 is: 404,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,850 : 262,966.50 = 262,966.50 : x
  2. Step 2: Convert to fraction form
    170,850/262,966.50 = 262,966.50/x
  3. Step 3: Cross multiply
    170,850x = 262,966.50 × 262,966.50
  4. Step 4: Simplify right side
    170,850x = 69,151,380,122.25
  5. Step 5: Solve for x
    x = 69,151,380,122.25/170,850
  6. Step 6: Final answer
    x = 404,749.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.