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Finding the Third Proportional to 220,036.50 and 330,541.50

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Solution

The third proportional to 220,036.50 and 330,541.50 is: 496,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,036.50 : 330,541.50 = 330,541.50 : x
  2. Step 2: Convert to fraction form
    220,036.50/330,541.50 = 330,541.50/x
  3. Step 3: Cross multiply
    220,036.50x = 330,541.50 × 330,541.50
  4. Step 4: Simplify right side
    220,036.50x = 109,257,683,222.25
  5. Step 5: Solve for x
    x = 109,257,683,222.25/220,036.50
  6. Step 6: Final answer
    x = 496,543.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.