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Finding the Third Proportional to 181,731 and 424,492.50

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Solution

The third proportional to 181,731 and 424,492.50 is: 991,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,731 : 424,492.50 = 424,492.50 : x
  2. Step 2: Convert to fraction form
    181,731/424,492.50 = 424,492.50/x
  3. Step 3: Cross multiply
    181,731x = 424,492.50 × 424,492.50
  4. Step 4: Simplify right side
    181,731x = 180,193,882,556.25
  5. Step 5: Solve for x
    x = 180,193,882,556.25/181,731
  6. Step 6: Final answer
    x = 991,541.80

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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.