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Finding the Third Proportional to 188,322.75 and 418,549.50

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Solution

The third proportional to 188,322.75 and 418,549.50 is: 930,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,322.75 : 418,549.50 = 418,549.50 : x
  2. Step 2: Convert to fraction form
    188,322.75/418,549.50 = 418,549.50/x
  3. Step 3: Cross multiply
    188,322.75x = 418,549.50 × 418,549.50
  4. Step 4: Simplify right side
    188,322.75x = 175,183,683,950.25
  5. Step 5: Solve for x
    x = 175,183,683,950.25/188,322.75
  6. Step 6: Final answer
    x = 930,231.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.