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Finding the Third Proportional to 119,464.88 and 256,638.38

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Solution

The third proportional to 119,464.88 and 256,638.38 is: 551,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464.88 : 256,638.38 = 256,638.38 : x
  2. Step 2: Convert to fraction form
    119,464.88/256,638.38 = 256,638.38/x
  3. Step 3: Cross multiply
    119,464.88x = 256,638.38 × 256,638.38
  4. Step 4: Simplify right side
    119,464.88x = 65,863,255,522.64
  5. Step 5: Solve for x
    x = 65,863,255,522.64/119,464.88
  6. Step 6: Final answer
    x = 551,319.00

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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.