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Finding the Third Proportional to 233,161.03 and 360,048.80

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Solution

The third proportional to 233,161.03 and 360,048.80 is: 555,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,161.03 : 360,048.80 = 360,048.80 : x
  2. Step 2: Convert to fraction form
    233,161.03/360,048.80 = 360,048.80/x
  3. Step 3: Cross multiply
    233,161.03x = 360,048.80 × 360,048.80
  4. Step 4: Simplify right side
    233,161.03x = 129,635,136,131.14
  5. Step 5: Solve for x
    x = 129,635,136,131.14/233,161.03
  6. Step 6: Final answer
    x = 555,989.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.