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Finding the Third Proportional to 160,933.50 and 346,410

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Solution

The third proportional to 160,933.50 and 346,410 is: 745,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,933.50 : 346,410 = 346,410 : x
  2. Step 2: Convert to fraction form
    160,933.50/346,410 = 346,410/x
  3. Step 3: Cross multiply
    160,933.50x = 346,410 × 346,410
  4. Step 4: Simplify right side
    160,933.50x = 119,999,888,100
  5. Step 5: Solve for x
    x = 119,999,888,100/160,933.50
  6. Step 6: Final answer
    x = 745,648.91

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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.