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Finding the Third Proportional to 213,114 and 355,140

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Solution

The third proportional to 213,114 and 355,140 is: 591,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,114 : 355,140 = 355,140 : x
  2. Step 2: Convert to fraction form
    213,114/355,140 = 355,140/x
  3. Step 3: Cross multiply
    213,114x = 355,140 × 355,140
  4. Step 4: Simplify right side
    213,114x = 126,124,419,600
  5. Step 5: Solve for x
    x = 126,124,419,600/213,114
  6. Step 6: Final answer
    x = 591,816.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.