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Finding the Third Proportional to 162,196.80 and 355,968.42

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Solution

The third proportional to 162,196.80 and 355,968.42 is: 781,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,196.80 : 355,968.42 = 355,968.42 : x
  2. Step 2: Convert to fraction form
    162,196.80/355,968.42 = 355,968.42/x
  3. Step 3: Cross multiply
    162,196.80x = 355,968.42 × 355,968.42
  4. Step 4: Simplify right side
    162,196.80x = 126,713,517,372.18
  5. Step 5: Solve for x
    x = 126,713,517,372.18/162,196.80
  6. Step 6: Final answer
    x = 781,233.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.