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Finding the Third Proportional to 109,970 and 235,492

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Solution

The third proportional to 109,970 and 235,492 is: 504,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970 : 235,492 = 235,492 : x
  2. Step 2: Convert to fraction form
    109,970/235,492 = 235,492/x
  3. Step 3: Cross multiply
    109,970x = 235,492 × 235,492
  4. Step 4: Simplify right side
    109,970x = 55,456,482,064
  5. Step 5: Solve for x
    x = 55,456,482,064/109,970
  6. Step 6: Final answer
    x = 504,287.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.