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Finding the Third Proportional to 225,288 and 314,966

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Solution

The third proportional to 225,288 and 314,966 is: 440,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,288 : 314,966 = 314,966 : x
  2. Step 2: Convert to fraction form
    225,288/314,966 = 314,966/x
  3. Step 3: Cross multiply
    225,288x = 314,966 × 314,966
  4. Step 4: Simplify right side
    225,288x = 99,203,581,156
  5. Step 5: Solve for x
    x = 99,203,581,156/225,288
  6. Step 6: Final answer
    x = 440,341.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.