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Finding the Third Proportional to 164,848 and 353,024

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Solution

The third proportional to 164,848 and 353,024 is: 756,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,848 : 353,024 = 353,024 : x
  2. Step 2: Convert to fraction form
    164,848/353,024 = 353,024/x
  3. Step 3: Cross multiply
    164,848x = 353,024 × 353,024
  4. Step 4: Simplify right side
    164,848x = 124,625,944,576
  5. Step 5: Solve for x
    x = 124,625,944,576/164,848
  6. Step 6: Final answer
    x = 756,005.20

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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.