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Finding the Third Proportional to 256,152 and 551,760

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Solution

The third proportional to 256,152 and 551,760 is: 1,188,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,152 : 551,760 = 551,760 : x
  2. Step 2: Convert to fraction form
    256,152/551,760 = 551,760/x
  3. Step 3: Cross multiply
    256,152x = 551,760 × 551,760
  4. Step 4: Simplify right side
    256,152x = 304,439,097,600
  5. Step 5: Solve for x
    x = 304,439,097,600/256,152
  6. Step 6: Final answer
    x = 1,188,509.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.