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Finding the Third Proportional to 170,298.38 and 401,440.50

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Solution

The third proportional to 170,298.38 and 401,440.50 is: 946,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,298.38 : 401,440.50 = 401,440.50 : x
  2. Step 2: Convert to fraction form
    170,298.38/401,440.50 = 401,440.50/x
  3. Step 3: Cross multiply
    170,298.38x = 401,440.50 × 401,440.50
  4. Step 4: Simplify right side
    170,298.38x = 161,154,475,040.25
  5. Step 5: Solve for x
    x = 161,154,475,040.25/170,298.38
  6. Step 6: Final answer
    x = 946,306.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.