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Finding the Third Proportional to 160,959.66 and 346,829.34

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Solution

The third proportional to 160,959.66 and 346,829.34 is: 747,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959.66 : 346,829.34 = 346,829.34 : x
  2. Step 2: Convert to fraction form
    160,959.66/346,829.34 = 346,829.34/x
  3. Step 3: Cross multiply
    160,959.66x = 346,829.34 × 346,829.34
  4. Step 4: Simplify right side
    160,959.66x = 120,290,593,686.06
  5. Step 5: Solve for x
    x = 120,290,593,686.06/160,959.66
  6. Step 6: Final answer
    x = 747,333.81

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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.