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Finding the Third Proportional to 245,422.50 and 360,054.75

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Solution

The third proportional to 245,422.50 and 360,054.75 is: 528,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,422.50 : 360,054.75 = 360,054.75 : x
  2. Step 2: Convert to fraction form
    245,422.50/360,054.75 = 360,054.75/x
  3. Step 3: Cross multiply
    245,422.50x = 360,054.75 × 360,054.75
  4. Step 4: Simplify right side
    245,422.50x = 129,639,422,997.56
  5. Step 5: Solve for x
    x = 129,639,422,997.56/245,422.50
  6. Step 6: Final answer
    x = 528,229.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.