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Finding the Third Proportional to 234,083 and 359,879

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Solution

The third proportional to 234,083 and 359,879 is: 553,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,083 : 359,879 = 359,879 : x
  2. Step 2: Convert to fraction form
    234,083/359,879 = 359,879/x
  3. Step 3: Cross multiply
    234,083x = 359,879 × 359,879
  4. Step 4: Simplify right side
    234,083x = 129,512,894,641
  5. Step 5: Solve for x
    x = 129,512,894,641/234,083
  6. Step 6: Final answer
    x = 553,277.66

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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.