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Finding the Third Proportional to 170,169 and 354,342

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Solution

The third proportional to 170,169 and 354,342 is: 737,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,169 : 354,342 = 354,342 : x
  2. Step 2: Convert to fraction form
    170,169/354,342 = 354,342/x
  3. Step 3: Cross multiply
    170,169x = 354,342 × 354,342
  4. Step 4: Simplify right side
    170,169x = 125,558,252,964
  5. Step 5: Solve for x
    x = 125,558,252,964/170,169
  6. Step 6: Final answer
    x = 737,844.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.