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Finding the Third Proportional to 109,370 and 239,314

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Solution

The third proportional to 109,370 and 239,314 is: 523,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,370 : 239,314 = 239,314 : x
  2. Step 2: Convert to fraction form
    109,370/239,314 = 239,314/x
  3. Step 3: Cross multiply
    109,370x = 239,314 × 239,314
  4. Step 4: Simplify right side
    109,370x = 57,271,190,596
  5. Step 5: Solve for x
    x = 57,271,190,596/109,370
  6. Step 6: Final answer
    x = 523,646.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.