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Finding the Third Proportional to 164,154 and 268,020

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Solution

The third proportional to 164,154 and 268,020 is: 437,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,154 : 268,020 = 268,020 : x
  2. Step 2: Convert to fraction form
    164,154/268,020 = 268,020/x
  3. Step 3: Cross multiply
    164,154x = 268,020 × 268,020
  4. Step 4: Simplify right side
    164,154x = 71,834,720,400
  5. Step 5: Solve for x
    x = 71,834,720,400/164,154
  6. Step 6: Final answer
    x = 437,605.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.