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Finding the Third Proportional to 164,134 and 353,377

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Solution

The third proportional to 164,134 and 353,377 is: 760,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,134 : 353,377 = 353,377 : x
  2. Step 2: Convert to fraction form
    164,134/353,377 = 353,377/x
  3. Step 3: Cross multiply
    164,134x = 353,377 × 353,377
  4. Step 4: Simplify right side
    164,134x = 124,875,304,129
  5. Step 5: Solve for x
    x = 124,875,304,129/164,134
  6. Step 6: Final answer
    x = 760,813.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.