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Finding the Third Proportional to 106,464 and 177,440

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Solution

The third proportional to 106,464 and 177,440 is: 295,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464 : 177,440 = 177,440 : x
  2. Step 2: Convert to fraction form
    106,464/177,440 = 177,440/x
  3. Step 3: Cross multiply
    106,464x = 177,440 × 177,440
  4. Step 4: Simplify right side
    106,464x = 31,484,953,600
  5. Step 5: Solve for x
    x = 31,484,953,600/106,464
  6. Step 6: Final answer
    x = 295,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.