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Finding the Third Proportional to 200,944 and 295,368

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Solution

The third proportional to 200,944 and 295,368 is: 434,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,944 : 295,368 = 295,368 : x
  2. Step 2: Convert to fraction form
    200,944/295,368 = 295,368/x
  3. Step 3: Cross multiply
    200,944x = 295,368 × 295,368
  4. Step 4: Simplify right side
    200,944x = 87,242,255,424
  5. Step 5: Solve for x
    x = 87,242,255,424/200,944
  6. Step 6: Final answer
    x = 434,162.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.