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Finding the Third Proportional to 109,483 and 236,957

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Solution

The third proportional to 109,483 and 236,957 is: 512,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,483 : 236,957 = 236,957 : x
  2. Step 2: Convert to fraction form
    109,483/236,957 = 236,957/x
  3. Step 3: Cross multiply
    109,483x = 236,957 × 236,957
  4. Step 4: Simplify right side
    109,483x = 56,148,619,849
  5. Step 5: Solve for x
    x = 56,148,619,849/109,483
  6. Step 6: Final answer
    x = 512,852.40

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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.