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Finding the Third Proportional to 164,544 and 240,579

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Solution

The third proportional to 164,544 and 240,579 is: 351,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,544 : 240,579 = 240,579 : x
  2. Step 2: Convert to fraction form
    164,544/240,579 = 240,579/x
  3. Step 3: Cross multiply
    164,544x = 240,579 × 240,579
  4. Step 4: Simplify right side
    164,544x = 57,878,255,241
  5. Step 5: Solve for x
    x = 57,878,255,241/164,544
  6. Step 6: Final answer
    x = 351,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.