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Finding the Third Proportional to 181,719 and 424,462.50

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Solution

The third proportional to 181,719 and 424,462.50 is: 991,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,719 : 424,462.50 = 424,462.50 : x
  2. Step 2: Convert to fraction form
    181,719/424,462.50 = 424,462.50/x
  3. Step 3: Cross multiply
    181,719x = 424,462.50 × 424,462.50
  4. Step 4: Simplify right side
    181,719x = 180,168,413,906.25
  5. Step 5: Solve for x
    x = 180,168,413,906.25/181,719
  6. Step 6: Final answer
    x = 991,467.12

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.