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Finding the Third Proportional to 119,076.19 and 256,848.75

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Solution

The third proportional to 119,076.19 and 256,848.75 is: 554,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.19 : 256,848.75 = 256,848.75 : x
  2. Step 2: Convert to fraction form
    119,076.19/256,848.75 = 256,848.75/x
  3. Step 3: Cross multiply
    119,076.19x = 256,848.75 × 256,848.75
  4. Step 4: Simplify right side
    119,076.19x = 65,971,280,376.56
  5. Step 5: Solve for x
    x = 65,971,280,376.56/119,076.19
  6. Step 6: Final answer
    x = 554,025.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.