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Finding the Third Proportional to 142,360 and 308,096

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Solution

The third proportional to 142,360 and 308,096 is: 666,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,360 : 308,096 = 308,096 : x
  2. Step 2: Convert to fraction form
    142,360/308,096 = 308,096/x
  3. Step 3: Cross multiply
    142,360x = 308,096 × 308,096
  4. Step 4: Simplify right side
    142,360x = 94,923,145,216
  5. Step 5: Solve for x
    x = 94,923,145,216/142,360
  6. Step 6: Final answer
    x = 666,782.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.