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Finding the Third Proportional to 157,763.81 and 347,079.94

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Solution

The third proportional to 157,763.81 and 347,079.94 is: 763,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763.81 : 347,079.94 = 347,079.94 : x
  2. Step 2: Convert to fraction form
    157,763.81/347,079.94 = 347,079.94/x
  3. Step 3: Cross multiply
    157,763.81x = 347,079.94 × 347,079.94
  4. Step 4: Simplify right side
    157,763.81x = 120,464,483,015.00
  5. Step 5: Solve for x
    x = 120,464,483,015.00/157,763.81
  6. Step 6: Final answer
    x = 763,574.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.