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Finding the Third Proportional to 139,352 and 301,064

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Solution

The third proportional to 139,352 and 301,064 is: 650,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,352 : 301,064 = 301,064 : x
  2. Step 2: Convert to fraction form
    139,352/301,064 = 301,064/x
  3. Step 3: Cross multiply
    139,352x = 301,064 × 301,064
  4. Step 4: Simplify right side
    139,352x = 90,639,532,096
  5. Step 5: Solve for x
    x = 90,639,532,096/139,352
  6. Step 6: Final answer
    x = 650,435.82

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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.