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Finding the Third Proportional to 169,178 and 368,492

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Solution

The third proportional to 169,178 and 368,492 is: 802,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,178 : 368,492 = 368,492 : x
  2. Step 2: Convert to fraction form
    169,178/368,492 = 368,492/x
  3. Step 3: Cross multiply
    169,178x = 368,492 × 368,492
  4. Step 4: Simplify right side
    169,178x = 135,786,354,064
  5. Step 5: Solve for x
    x = 135,786,354,064/169,178
  6. Step 6: Final answer
    x = 802,624.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.