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Finding the Third Proportional to 200,352 and 300,024

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Solution

The third proportional to 200,352 and 300,024 is: 449,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352 : 300,024 = 300,024 : x
  2. Step 2: Convert to fraction form
    200,352/300,024 = 300,024/x
  3. Step 3: Cross multiply
    200,352x = 300,024 × 300,024
  4. Step 4: Simplify right side
    200,352x = 90,014,400,576
  5. Step 5: Solve for x
    x = 90,014,400,576/200,352
  6. Step 6: Final answer
    x = 449,281.27

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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.