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Finding the Third Proportional to 109,584 and 235,814

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Solution

The third proportional to 109,584 and 235,814 is: 507,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,584 : 235,814 = 235,814 : x
  2. Step 2: Convert to fraction form
    109,584/235,814 = 235,814/x
  3. Step 3: Cross multiply
    109,584x = 235,814 × 235,814
  4. Step 4: Simplify right side
    109,584x = 55,608,242,596
  5. Step 5: Solve for x
    x = 55,608,242,596/109,584
  6. Step 6: Final answer
    x = 507,448.56

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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.