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Finding the Third Proportional to 211,656 and 282,166.50

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Solution

The third proportional to 211,656 and 282,166.50 is: 376,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,656 : 282,166.50 = 282,166.50 : x
  2. Step 2: Convert to fraction form
    211,656/282,166.50 = 282,166.50/x
  3. Step 3: Cross multiply
    211,656x = 282,166.50 × 282,166.50
  4. Step 4: Simplify right side
    211,656x = 79,617,933,722.25
  5. Step 5: Solve for x
    x = 79,617,933,722.25/211,656
  6. Step 6: Final answer
    x = 376,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.