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Finding the Third Proportional to 166,776 and 367,570.50

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Solution

The third proportional to 166,776 and 367,570.50 is: 810,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,776 : 367,570.50 = 367,570.50 : x
  2. Step 2: Convert to fraction form
    166,776/367,570.50 = 367,570.50/x
  3. Step 3: Cross multiply
    166,776x = 367,570.50 × 367,570.50
  4. Step 4: Simplify right side
    166,776x = 135,108,072,470.25
  5. Step 5: Solve for x
    x = 135,108,072,470.25/166,776
  6. Step 6: Final answer
    x = 810,117.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.