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Finding the Third Proportional to 164,235 and 354,102

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Solution

The third proportional to 164,235 and 354,102 is: 763,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,235 : 354,102 = 354,102 : x
  2. Step 2: Convert to fraction form
    164,235/354,102 = 354,102/x
  3. Step 3: Cross multiply
    164,235x = 354,102 × 354,102
  4. Step 4: Simplify right side
    164,235x = 125,388,226,404
  5. Step 5: Solve for x
    x = 125,388,226,404/164,235
  6. Step 6: Final answer
    x = 763,468.36

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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.