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Finding the Third Proportional to 181,169 and 426,288.50

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Solution

The third proportional to 181,169 and 426,288.50 is: 1,003,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169 : 426,288.50 = 426,288.50 : x
  2. Step 2: Convert to fraction form
    181,169/426,288.50 = 426,288.50/x
  3. Step 3: Cross multiply
    181,169x = 426,288.50 × 426,288.50
  4. Step 4: Simplify right side
    181,169x = 181,721,885,232.25
  5. Step 5: Solve for x
    x = 181,721,885,232.25/181,169
  6. Step 6: Final answer
    x = 1,003,051.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.