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Finding the Third Proportional to 200,445 and 308,226

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Solution

The third proportional to 200,445 and 308,226 is: 473,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,445 : 308,226 = 308,226 : x
  2. Step 2: Convert to fraction form
    200,445/308,226 = 308,226/x
  3. Step 3: Cross multiply
    200,445x = 308,226 × 308,226
  4. Step 4: Simplify right side
    200,445x = 95,003,267,076
  5. Step 5: Solve for x
    x = 95,003,267,076/200,445
  6. Step 6: Final answer
    x = 473,961.77

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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.