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Finding the Third Proportional to 160,186.25 and 352,347.13

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Solution

The third proportional to 160,186.25 and 352,347.13 is: 775,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,186.25 : 352,347.13 = 352,347.13 : x
  2. Step 2: Convert to fraction form
    160,186.25/352,347.13 = 352,347.13/x
  3. Step 3: Cross multiply
    160,186.25x = 352,347.13 × 352,347.13
  4. Step 4: Simplify right side
    160,186.25x = 124,148,496,495.77
  5. Step 5: Solve for x
    x = 124,148,496,495.77/160,186.25
  6. Step 6: Final answer
    x = 775,025.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.