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Finding the Third Proportional to 253,280 and 376,016

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Solution

The third proportional to 253,280 and 376,016 is: 558,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,280 : 376,016 = 376,016 : x
  2. Step 2: Convert to fraction form
    253,280/376,016 = 376,016/x
  3. Step 3: Cross multiply
    253,280x = 376,016 × 376,016
  4. Step 4: Simplify right side
    253,280x = 141,388,032,256
  5. Step 5: Solve for x
    x = 141,388,032,256/253,280
  6. Step 6: Final answer
    x = 558,228.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.