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Finding the Third Proportional to 78,344 and 164,752

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Solution

The third proportional to 78,344 and 164,752 is: 346,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344 : 164,752 = 164,752 : x
  2. Step 2: Convert to fraction form
    78,344/164,752 = 164,752/x
  3. Step 3: Cross multiply
    78,344x = 164,752 × 164,752
  4. Step 4: Simplify right side
    78,344x = 27,143,221,504
  5. Step 5: Solve for x
    x = 27,143,221,504/78,344
  6. Step 6: Final answer
    x = 346,462.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.