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Finding the Third Proportional to 154,291.50 and 336,642.75

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Solution

The third proportional to 154,291.50 and 336,642.75 is: 734,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,291.50 : 336,642.75 = 336,642.75 : x
  2. Step 2: Convert to fraction form
    154,291.50/336,642.75 = 336,642.75/x
  3. Step 3: Cross multiply
    154,291.50x = 336,642.75 × 336,642.75
  4. Step 4: Simplify right side
    154,291.50x = 113,328,341,127.56
  5. Step 5: Solve for x
    x = 113,328,341,127.56/154,291.50
  6. Step 6: Final answer
    x = 734,508.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.