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Finding the Third Proportional to 165,614 and 221,719

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Solution

The third proportional to 165,614 and 221,719 is: 296,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,614 : 221,719 = 221,719 : x
  2. Step 2: Convert to fraction form
    165,614/221,719 = 221,719/x
  3. Step 3: Cross multiply
    165,614x = 221,719 × 221,719
  4. Step 4: Simplify right side
    165,614x = 49,159,314,961
  5. Step 5: Solve for x
    x = 49,159,314,961/165,614
  6. Step 6: Final answer
    x = 296,830.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.