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Finding the Third Proportional to 160,957.13 and 349,693.88

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Solution

The third proportional to 160,957.13 and 349,693.88 is: 759,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,957.13 : 349,693.88 = 349,693.88 : x
  2. Step 2: Convert to fraction form
    160,957.13/349,693.88 = 349,693.88/x
  3. Step 3: Cross multiply
    160,957.13x = 349,693.88 × 349,693.88
  4. Step 4: Simplify right side
    160,957.13x = 122,285,806,212.52
  5. Step 5: Solve for x
    x = 122,285,806,212.52/160,957.13
  6. Step 6: Final answer
    x = 759,741.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.