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Finding the Third Proportional to 160,248.06 and 341,945.14

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Solution

The third proportional to 160,248.06 and 341,945.14 is: 729,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,248.06 : 341,945.14 = 341,945.14 : x
  2. Step 2: Convert to fraction form
    160,248.06/341,945.14 = 341,945.14/x
  3. Step 3: Cross multiply
    160,248.06x = 341,945.14 × 341,945.14
  4. Step 4: Simplify right side
    160,248.06x = 116,926,477,861.33
  5. Step 5: Solve for x
    x = 116,926,477,861.33/160,248.06
  6. Step 6: Final answer
    x = 729,659.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.