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Finding the Third Proportional to 142,344 and 308,064

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Solution

The third proportional to 142,344 and 308,064 is: 666,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,344 : 308,064 = 308,064 : x
  2. Step 2: Convert to fraction form
    142,344/308,064 = 308,064/x
  3. Step 3: Cross multiply
    142,344x = 308,064 × 308,064
  4. Step 4: Simplify right side
    142,344x = 94,903,428,096
  5. Step 5: Solve for x
    x = 94,903,428,096/142,344
  6. Step 6: Final answer
    x = 666,718.85

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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.