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Finding the Third Proportional to 164,376 and 210,042

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Solution

The third proportional to 164,376 and 210,042 is: 268,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,376 : 210,042 = 210,042 : x
  2. Step 2: Convert to fraction form
    164,376/210,042 = 210,042/x
  3. Step 3: Cross multiply
    164,376x = 210,042 × 210,042
  4. Step 4: Simplify right side
    164,376x = 44,117,641,764
  5. Step 5: Solve for x
    x = 44,117,641,764/164,376
  6. Step 6: Final answer
    x = 268,394.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.