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Finding the Third Proportional to 119,417.63 and 256,523.63

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Solution

The third proportional to 119,417.63 and 256,523.63 is: 551,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,417.63 : 256,523.63 = 256,523.63 : x
  2. Step 2: Convert to fraction form
    119,417.63/256,523.63 = 256,523.63/x
  3. Step 3: Cross multiply
    119,417.63x = 256,523.63 × 256,523.63
  4. Step 4: Simplify right side
    119,417.63x = 65,804,370,183.14
  5. Step 5: Solve for x
    x = 65,804,370,183.14/119,417.63
  6. Step 6: Final answer
    x = 551,044.04

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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.