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Finding the Third Proportional to 230,152 and 476,276

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Solution

The third proportional to 230,152 and 476,276 is: 985,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,152 : 476,276 = 476,276 : x
  2. Step 2: Convert to fraction form
    230,152/476,276 = 476,276/x
  3. Step 3: Cross multiply
    230,152x = 476,276 × 476,276
  4. Step 4: Simplify right side
    230,152x = 226,838,828,176
  5. Step 5: Solve for x
    x = 226,838,828,176/230,152
  6. Step 6: Final answer
    x = 985,604.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.