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Finding the Third Proportional to 165,700.50 and 343,293

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Solution

The third proportional to 165,700.50 and 343,293 is: 711,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,700.50 : 343,293 = 343,293 : x
  2. Step 2: Convert to fraction form
    165,700.50/343,293 = 343,293/x
  3. Step 3: Cross multiply
    165,700.50x = 343,293 × 343,293
  4. Step 4: Simplify right side
    165,700.50x = 117,850,083,849
  5. Step 5: Solve for x
    x = 117,850,083,849/165,700.50
  6. Step 6: Final answer
    x = 711,223.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.