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Finding the Third Proportional to 164,102 and 234,669

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Solution

The third proportional to 164,102 and 234,669 is: 335,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102 : 234,669 = 234,669 : x
  2. Step 2: Convert to fraction form
    164,102/234,669 = 234,669/x
  3. Step 3: Cross multiply
    164,102x = 234,669 × 234,669
  4. Step 4: Simplify right side
    164,102x = 55,069,539,561
  5. Step 5: Solve for x
    x = 55,069,539,561/164,102
  6. Step 6: Final answer
    x = 335,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.