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Finding the Third Proportional to 164,848 and 353,018

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Solution

The third proportional to 164,848 and 353,018 is: 755,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,848 : 353,018 = 353,018 : x
  2. Step 2: Convert to fraction form
    164,848/353,018 = 353,018/x
  3. Step 3: Cross multiply
    164,848x = 353,018 × 353,018
  4. Step 4: Simplify right side
    164,848x = 124,621,708,324
  5. Step 5: Solve for x
    x = 124,621,708,324/164,848
  6. Step 6: Final answer
    x = 755,979.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.