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Finding the Third Proportional to 204,228 and 314,955

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Solution

The third proportional to 204,228 and 314,955 is: 485,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,228 : 314,955 = 314,955 : x
  2. Step 2: Convert to fraction form
    204,228/314,955 = 314,955/x
  3. Step 3: Cross multiply
    204,228x = 314,955 × 314,955
  4. Step 4: Simplify right side
    204,228x = 99,196,652,025
  5. Step 5: Solve for x
    x = 99,196,652,025/204,228
  6. Step 6: Final answer
    x = 485,715.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.