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Finding the Third Proportional to 201,442.50 and 299,355.75

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Solution

The third proportional to 201,442.50 and 299,355.75 is: 444,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,442.50 : 299,355.75 = 299,355.75 : x
  2. Step 2: Convert to fraction form
    201,442.50/299,355.75 = 299,355.75/x
  3. Step 3: Cross multiply
    201,442.50x = 299,355.75 × 299,355.75
  4. Step 4: Simplify right side
    201,442.50x = 89,613,865,058.06
  5. Step 5: Solve for x
    x = 89,613,865,058.06/201,442.50
  6. Step 6: Final answer
    x = 444,860.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.