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Finding the Third Proportional to 128,126.81 and 306,012.94

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Solution

The third proportional to 128,126.81 and 306,012.94 is: 730,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,126.81 : 306,012.94 = 306,012.94 : x
  2. Step 2: Convert to fraction form
    128,126.81/306,012.94 = 306,012.94/x
  3. Step 3: Cross multiply
    128,126.81x = 306,012.94 × 306,012.94
  4. Step 4: Simplify right side
    128,126.81x = 93,643,917,917.38
  5. Step 5: Solve for x
    x = 93,643,917,917.38/128,126.81
  6. Step 6: Final answer
    x = 730,869.02

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.