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Finding the Third Proportional to 255,204 and 376,988

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Solution

The third proportional to 255,204 and 376,988 is: 556,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,204 : 376,988 = 376,988 : x
  2. Step 2: Convert to fraction form
    255,204/376,988 = 376,988/x
  3. Step 3: Cross multiply
    255,204x = 376,988 × 376,988
  4. Step 4: Simplify right side
    255,204x = 142,119,952,144
  5. Step 5: Solve for x
    x = 142,119,952,144/255,204
  6. Step 6: Final answer
    x = 556,887.64

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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.