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Finding the Third Proportional to 200,356 and 312,022

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Solution

The third proportional to 200,356 and 312,022 is: 485,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356 : 312,022 = 312,022 : x
  2. Step 2: Convert to fraction form
    200,356/312,022 = 312,022/x
  3. Step 3: Cross multiply
    200,356x = 312,022 × 312,022
  4. Step 4: Simplify right side
    200,356x = 97,357,728,484
  5. Step 5: Solve for x
    x = 97,357,728,484/200,356
  6. Step 6: Final answer
    x = 485,923.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.