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Finding the Third Proportional to 129,964 and 196,362

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Solution

The third proportional to 129,964 and 196,362 is: 296,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,964 : 196,362 = 196,362 : x
  2. Step 2: Convert to fraction form
    129,964/196,362 = 196,362/x
  3. Step 3: Cross multiply
    129,964x = 196,362 × 196,362
  4. Step 4: Simplify right side
    129,964x = 38,558,035,044
  5. Step 5: Solve for x
    x = 38,558,035,044/129,964
  6. Step 6: Final answer
    x = 296,682.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.