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Finding the Third Proportional to 166,792 and 245,776

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Solution

The third proportional to 166,792 and 245,776 is: 362,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,792 : 245,776 = 245,776 : x
  2. Step 2: Convert to fraction form
    166,792/245,776 = 245,776/x
  3. Step 3: Cross multiply
    166,792x = 245,776 × 245,776
  4. Step 4: Simplify right side
    166,792x = 60,405,842,176
  5. Step 5: Solve for x
    x = 60,405,842,176/166,792
  6. Step 6: Final answer
    x = 362,162.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.