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Finding the Third Proportional to 204,966.98 and 450,287.16

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Solution

The third proportional to 204,966.98 and 450,287.16 is: 989,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,966.98 : 450,287.16 = 450,287.16 : x
  2. Step 2: Convert to fraction form
    204,966.98/450,287.16 = 450,287.16/x
  3. Step 3: Cross multiply
    204,966.98x = 450,287.16 × 450,287.16
  4. Step 4: Simplify right side
    204,966.98x = 202,758,523,083.71
  5. Step 5: Solve for x
    x = 202,758,523,083.71/204,966.98
  6. Step 6: Final answer
    x = 989,225.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.