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Finding the Third Proportional to 109,412 and 235,562

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Solution

The third proportional to 109,412 and 235,562 is: 507,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412 : 235,562 = 235,562 : x
  2. Step 2: Convert to fraction form
    109,412/235,562 = 235,562/x
  3. Step 3: Cross multiply
    109,412x = 235,562 × 235,562
  4. Step 4: Simplify right side
    109,412x = 55,489,455,844
  5. Step 5: Solve for x
    x = 55,489,455,844/109,412
  6. Step 6: Final answer
    x = 507,160.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.