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Finding the Third Proportional to 157,831.50 and 341,907

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Solution

The third proportional to 157,831.50 and 341,907 is: 740,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831.50 : 341,907 = 341,907 : x
  2. Step 2: Convert to fraction form
    157,831.50/341,907 = 341,907/x
  3. Step 3: Cross multiply
    157,831.50x = 341,907 × 341,907
  4. Step 4: Simplify right side
    157,831.50x = 116,900,396,649
  5. Step 5: Solve for x
    x = 116,900,396,649/157,831.50
  6. Step 6: Final answer
    x = 740,665.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.