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Finding the Third Proportional to 165,701.50 and 343,295

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Solution

The third proportional to 165,701.50 and 343,295 is: 711,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,701.50 : 343,295 = 343,295 : x
  2. Step 2: Convert to fraction form
    165,701.50/343,295 = 343,295/x
  3. Step 3: Cross multiply
    165,701.50x = 343,295 × 343,295
  4. Step 4: Simplify right side
    165,701.50x = 117,851,457,025
  5. Step 5: Solve for x
    x = 117,851,457,025/165,701.50
  6. Step 6: Final answer
    x = 711,227.46

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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.