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Finding the Third Proportional to 233,235 and 360,163.13

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Solution

The third proportional to 233,235 and 360,163.13 is: 556,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,235 : 360,163.13 = 360,163.13 : x
  2. Step 2: Convert to fraction form
    233,235/360,163.13 = 360,163.13/x
  3. Step 3: Cross multiply
    233,235x = 360,163.13 × 360,163.13
  4. Step 4: Simplify right side
    233,235x = 129,717,476,609.77
  5. Step 5: Solve for x
    x = 129,717,476,609.77/233,235
  6. Step 6: Final answer
    x = 556,166.43

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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.