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Finding the Third Proportional to 164,420 and 355,024

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Solution

The third proportional to 164,420 and 355,024 is: 766,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,420 : 355,024 = 355,024 : x
  2. Step 2: Convert to fraction form
    164,420/355,024 = 355,024/x
  3. Step 3: Cross multiply
    164,420x = 355,024 × 355,024
  4. Step 4: Simplify right side
    164,420x = 126,042,040,576
  5. Step 5: Solve for x
    x = 126,042,040,576/164,420
  6. Step 6: Final answer
    x = 766,585.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.