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Finding the Third Proportional to 160,012.97 and 343,748.81

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Solution

The third proportional to 160,012.97 and 343,748.81 is: 738,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,012.97 : 343,748.81 = 343,748.81 : x
  2. Step 2: Convert to fraction form
    160,012.97/343,748.81 = 343,748.81/x
  3. Step 3: Cross multiply
    160,012.97x = 343,748.81 × 343,748.81
  4. Step 4: Simplify right side
    160,012.97x = 118,163,246,095.16
  5. Step 5: Solve for x
    x = 118,163,246,095.16/160,012.97
  6. Step 6: Final answer
    x = 738,460.43

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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.