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Finding the Third Proportional to 109,656 and 234,852

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Solution

The third proportional to 109,656 and 234,852 is: 502,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656 : 234,852 = 234,852 : x
  2. Step 2: Convert to fraction form
    109,656/234,852 = 234,852/x
  3. Step 3: Cross multiply
    109,656x = 234,852 × 234,852
  4. Step 4: Simplify right side
    109,656x = 55,155,461,904
  5. Step 5: Solve for x
    x = 55,155,461,904/109,656
  6. Step 6: Final answer
    x = 502,986.27

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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.