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Finding the Third Proportional to 233,211 and 360,123

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Solution

The third proportional to 233,211 and 360,123 is: 556,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,211 : 360,123 = 360,123 : x
  2. Step 2: Convert to fraction form
    233,211/360,123 = 360,123/x
  3. Step 3: Cross multiply
    233,211x = 360,123 × 360,123
  4. Step 4: Simplify right side
    233,211x = 129,688,575,129
  5. Step 5: Solve for x
    x = 129,688,575,129/233,211
  6. Step 6: Final answer
    x = 556,099.73

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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.