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Finding the Third Proportional to 109,878 and 235,308

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Solution

The third proportional to 109,878 and 235,308 is: 503,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878 : 235,308 = 235,308 : x
  2. Step 2: Convert to fraction form
    109,878/235,308 = 235,308/x
  3. Step 3: Cross multiply
    109,878x = 235,308 × 235,308
  4. Step 4: Simplify right side
    109,878x = 55,369,854,864
  5. Step 5: Solve for x
    x = 55,369,854,864/109,878
  6. Step 6: Final answer
    x = 503,921.21

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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.