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Finding the Third Proportional to 128,305 and 309,098.50

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Solution

The third proportional to 128,305 and 309,098.50 is: 744,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,305 : 309,098.50 = 309,098.50 : x
  2. Step 2: Convert to fraction form
    128,305/309,098.50 = 309,098.50/x
  3. Step 3: Cross multiply
    128,305x = 309,098.50 × 309,098.50
  4. Step 4: Simplify right side
    128,305x = 95,541,882,702.25
  5. Step 5: Solve for x
    x = 95,541,882,702.25/128,305
  6. Step 6: Final answer
    x = 744,646.61

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.