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Finding the Third Proportional to 164,142 and 353,394

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Solution

The third proportional to 164,142 and 353,394 is: 760,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,142 : 353,394 = 353,394 : x
  2. Step 2: Convert to fraction form
    164,142/353,394 = 353,394/x
  3. Step 3: Cross multiply
    164,142x = 353,394 × 353,394
  4. Step 4: Simplify right side
    164,142x = 124,887,319,236
  5. Step 5: Solve for x
    x = 124,887,319,236/164,142
  6. Step 6: Final answer
    x = 760,849.26

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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.