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Finding the Third Proportional to 130,917.75 and 314,901

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Solution

The third proportional to 130,917.75 and 314,901 is: 757,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,917.75 : 314,901 = 314,901 : x
  2. Step 2: Convert to fraction form
    130,917.75/314,901 = 314,901/x
  3. Step 3: Cross multiply
    130,917.75x = 314,901 × 314,901
  4. Step 4: Simplify right side
    130,917.75x = 99,162,639,801
  5. Step 5: Solve for x
    x = 99,162,639,801/130,917.75
  6. Step 6: Final answer
    x = 757,442.29

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Why These Related Problems?

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