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Finding the Third Proportional to 158,640 and 211,492

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Solution

The third proportional to 158,640 and 211,492 is: 281,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,640 : 211,492 = 211,492 : x
  2. Step 2: Convert to fraction form
    158,640/211,492 = 211,492/x
  3. Step 3: Cross multiply
    158,640x = 211,492 × 211,492
  4. Step 4: Simplify right side
    158,640x = 44,728,866,064
  5. Step 5: Solve for x
    x = 44,728,866,064/158,640
  6. Step 6: Final answer
    x = 281,952.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.