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Finding the Third Proportional to 233,222 and 360,138

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Solution

The third proportional to 233,222 and 360,138 is: 556,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,222 : 360,138 = 360,138 : x
  2. Step 2: Convert to fraction form
    233,222/360,138 = 360,138/x
  3. Step 3: Cross multiply
    233,222x = 360,138 × 360,138
  4. Step 4: Simplify right side
    233,222x = 129,699,379,044
  5. Step 5: Solve for x
    x = 129,699,379,044/233,222
  6. Step 6: Final answer
    x = 556,119.83

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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.