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Finding the Third Proportional to 181,148.06 and 266,181.19

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Solution

The third proportional to 181,148.06 and 266,181.19 is: 391,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,148.06 : 266,181.19 = 266,181.19 : x
  2. Step 2: Convert to fraction form
    181,148.06/266,181.19 = 266,181.19/x
  3. Step 3: Cross multiply
    181,148.06x = 266,181.19 × 266,181.19
  4. Step 4: Simplify right side
    181,148.06x = 70,852,424,578.91
  5. Step 5: Solve for x
    x = 70,852,424,578.91/181,148.06
  6. Step 6: Final answer
    x = 391,129.91

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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.