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Finding the Third Proportional to 181,235.50 and 426,412.50

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Solution

The third proportional to 181,235.50 and 426,412.50 is: 1,003,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,235.50 : 426,412.50 = 426,412.50 : x
  2. Step 2: Convert to fraction form
    181,235.50/426,412.50 = 426,412.50/x
  3. Step 3: Cross multiply
    181,235.50x = 426,412.50 × 426,412.50
  4. Step 4: Simplify right side
    181,235.50x = 181,827,620,156.25
  5. Step 5: Solve for x
    x = 181,827,620,156.25/181,235.50
  6. Step 6: Final answer
    x = 1,003,267.13

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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.