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Finding the Third Proportional to 109,444 and 235,628

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Solution

The third proportional to 109,444 and 235,628 is: 507,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,444 : 235,628 = 235,628 : x
  2. Step 2: Convert to fraction form
    109,444/235,628 = 235,628/x
  3. Step 3: Cross multiply
    109,444x = 235,628 × 235,628
  4. Step 4: Simplify right side
    109,444x = 55,520,554,384
  5. Step 5: Solve for x
    x = 55,520,554,384/109,444
  6. Step 6: Final answer
    x = 507,296.47

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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.