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Finding the Third Proportional to 160,483.50 and 338,869.69

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Solution

The third proportional to 160,483.50 and 338,869.69 is: 715,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,483.50 : 338,869.69 = 338,869.69 : x
  2. Step 2: Convert to fraction form
    160,483.50/338,869.69 = 338,869.69/x
  3. Step 3: Cross multiply
    160,483.50x = 338,869.69 × 338,869.69
  4. Step 4: Simplify right side
    160,483.50x = 114,832,665,106.35
  5. Step 5: Solve for x
    x = 114,832,665,106.35/160,483.50
  6. Step 6: Final answer
    x = 715,541.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.