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Finding the Third Proportional to 109,664 and 235,960

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Solution

The third proportional to 109,664 and 235,960 is: 507,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,664 : 235,960 = 235,960 : x
  2. Step 2: Convert to fraction form
    109,664/235,960 = 235,960/x
  3. Step 3: Cross multiply
    109,664x = 235,960 × 235,960
  4. Step 4: Simplify right side
    109,664x = 55,677,121,600
  5. Step 5: Solve for x
    x = 55,677,121,600/109,664
  6. Step 6: Final answer
    x = 507,706.46

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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.