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Finding the Third Proportional to 161,953.50 and 355,006.50

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Solution

The third proportional to 161,953.50 and 355,006.50 is: 778,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,953.50 : 355,006.50 = 355,006.50 : x
  2. Step 2: Convert to fraction form
    161,953.50/355,006.50 = 355,006.50/x
  3. Step 3: Cross multiply
    161,953.50x = 355,006.50 × 355,006.50
  4. Step 4: Simplify right side
    161,953.50x = 126,029,615,042.25
  5. Step 5: Solve for x
    x = 126,029,615,042.25/161,953.50
  6. Step 6: Final answer
    x = 778,183.95

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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.