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Finding the Third Proportional to 233,213 and 360,126

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Solution

The third proportional to 233,213 and 360,126 is: 556,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,213 : 360,126 = 360,126 : x
  2. Step 2: Convert to fraction form
    233,213/360,126 = 360,126/x
  3. Step 3: Cross multiply
    233,213x = 360,126 × 360,126
  4. Step 4: Simplify right side
    233,213x = 129,690,735,876
  5. Step 5: Solve for x
    x = 129,690,735,876/233,213
  6. Step 6: Final answer
    x = 556,104.23

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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.