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Finding the Third Proportional to 160,773.75 and 359,606.25

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Solution

The third proportional to 160,773.75 and 359,606.25 is: 804,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,773.75 : 359,606.25 = 359,606.25 : x
  2. Step 2: Convert to fraction form
    160,773.75/359,606.25 = 359,606.25/x
  3. Step 3: Cross multiply
    160,773.75x = 359,606.25 × 359,606.25
  4. Step 4: Simplify right side
    160,773.75x = 129,316,655,039.06
  5. Step 5: Solve for x
    x = 129,316,655,039.06/160,773.75
  6. Step 6: Final answer
    x = 804,339.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.