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Finding the Third Proportional to 109,370 and 235,988

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Solution

The third proportional to 109,370 and 235,988 is: 509,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,370 : 235,988 = 235,988 : x
  2. Step 2: Convert to fraction form
    109,370/235,988 = 235,988/x
  3. Step 3: Cross multiply
    109,370x = 235,988 × 235,988
  4. Step 4: Simplify right side
    109,370x = 55,690,336,144
  5. Step 5: Solve for x
    x = 55,690,336,144/109,370
  6. Step 6: Final answer
    x = 509,192.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.