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Finding the Third Proportional to 133,178 and 288,226

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Solution

The third proportional to 133,178 and 288,226 is: 623,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,178 : 288,226 = 288,226 : x
  2. Step 2: Convert to fraction form
    133,178/288,226 = 288,226/x
  3. Step 3: Cross multiply
    133,178x = 288,226 × 288,226
  4. Step 4: Simplify right side
    133,178x = 83,074,227,076
  5. Step 5: Solve for x
    x = 83,074,227,076/133,178
  6. Step 6: Final answer
    x = 623,783.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.