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Finding the Third Proportional to 233,205 and 360,114

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Solution

The third proportional to 233,205 and 360,114 is: 556,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,205 : 360,114 = 360,114 : x
  2. Step 2: Convert to fraction form
    233,205/360,114 = 360,114/x
  3. Step 3: Cross multiply
    233,205x = 360,114 × 360,114
  4. Step 4: Simplify right side
    233,205x = 129,682,092,996
  5. Step 5: Solve for x
    x = 129,682,092,996/233,205
  6. Step 6: Final answer
    x = 556,086.25

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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.