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Finding the Third Proportional to 181,795.50 and 424,599.56

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Solution

The third proportional to 181,795.50 and 424,599.56 is: 991,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,795.50 : 424,599.56 = 424,599.56 : x
  2. Step 2: Convert to fraction form
    181,795.50/424,599.56 = 424,599.56/x
  3. Step 3: Cross multiply
    181,795.50x = 424,599.56 × 424,599.56
  4. Step 4: Simplify right side
    181,795.50x = 180,284,788,475.19
  5. Step 5: Solve for x
    x = 180,284,788,475.19/181,795.50
  6. Step 6: Final answer
    x = 991,690.05

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Why These Related Problems?

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