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Finding the Third Proportional to 109,461 and 236,386

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Solution

The third proportional to 109,461 and 236,386 is: 510,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461 : 236,386 = 236,386 : x
  2. Step 2: Convert to fraction form
    109,461/236,386 = 236,386/x
  3. Step 3: Cross multiply
    109,461x = 236,386 × 236,386
  4. Step 4: Simplify right side
    109,461x = 55,878,340,996
  5. Step 5: Solve for x
    x = 55,878,340,996/109,461
  6. Step 6: Final answer
    x = 510,486.30

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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.