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Finding the Third Proportional to 227,368 and 344,224

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Solution

The third proportional to 227,368 and 344,224 is: 521,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,368 : 344,224 = 344,224 : x
  2. Step 2: Convert to fraction form
    227,368/344,224 = 344,224/x
  3. Step 3: Cross multiply
    227,368x = 344,224 × 344,224
  4. Step 4: Simplify right side
    227,368x = 118,490,162,176
  5. Step 5: Solve for x
    x = 118,490,162,176/227,368
  6. Step 6: Final answer
    x = 521,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.