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Finding the Third Proportional to 164,738 and 361,552

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Solution

The third proportional to 164,738 and 361,552 is: 793,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,738 : 361,552 = 361,552 : x
  2. Step 2: Convert to fraction form
    164,738/361,552 = 361,552/x
  3. Step 3: Cross multiply
    164,738x = 361,552 × 361,552
  4. Step 4: Simplify right side
    164,738x = 130,719,848,704
  5. Step 5: Solve for x
    x = 130,719,848,704/164,738
  6. Step 6: Final answer
    x = 793,501.49

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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.