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Finding the Third Proportional to 164,018 and 353,184

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Solution

The third proportional to 164,018 and 353,184 is: 760,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,018 : 353,184 = 353,184 : x
  2. Step 2: Convert to fraction form
    164,018/353,184 = 353,184/x
  3. Step 3: Cross multiply
    164,018x = 353,184 × 353,184
  4. Step 4: Simplify right side
    164,018x = 124,738,937,856
  5. Step 5: Solve for x
    x = 124,738,937,856/164,018
  6. Step 6: Final answer
    x = 760,519.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.