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Finding the Third Proportional to 164,544 and 359,544

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Solution

The third proportional to 164,544 and 359,544 is: 785,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,544 : 359,544 = 359,544 : x
  2. Step 2: Convert to fraction form
    164,544/359,544 = 359,544/x
  3. Step 3: Cross multiply
    164,544x = 359,544 × 359,544
  4. Step 4: Simplify right side
    164,544x = 129,271,887,936
  5. Step 5: Solve for x
    x = 129,271,887,936/164,544
  6. Step 6: Final answer
    x = 785,637.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.