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Finding the Third Proportional to 119,523.94 and 257,490.56

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Solution

The third proportional to 119,523.94 and 257,490.56 is: 554,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,523.94 : 257,490.56 = 257,490.56 : x
  2. Step 2: Convert to fraction form
    119,523.94/257,490.56 = 257,490.56/x
  3. Step 3: Cross multiply
    119,523.94x = 257,490.56 × 257,490.56
  4. Step 4: Simplify right side
    119,523.94x = 66,301,389,776.57
  5. Step 5: Solve for x
    x = 66,301,389,776.57/119,523.94
  6. Step 6: Final answer
    x = 554,712.23

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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.