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Finding the Third Proportional to 200,421 and 300,895.50

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Solution

The third proportional to 200,421 and 300,895.50 is: 451,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 300,895.50 = 300,895.50 : x
  2. Step 2: Convert to fraction form
    200,421/300,895.50 = 300,895.50/x
  3. Step 3: Cross multiply
    200,421x = 300,895.50 × 300,895.50
  4. Step 4: Simplify right side
    200,421x = 90,538,101,920.25
  5. Step 5: Solve for x
    x = 90,538,101,920.25/200,421
  6. Step 6: Final answer
    x = 451,739.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.