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Finding the Third Proportional to 156,902 and 240,064

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Solution

The third proportional to 156,902 and 240,064 is: 367,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,902 : 240,064 = 240,064 : x
  2. Step 2: Convert to fraction form
    156,902/240,064 = 240,064/x
  3. Step 3: Cross multiply
    156,902x = 240,064 × 240,064
  4. Step 4: Simplify right side
    156,902x = 57,630,724,096
  5. Step 5: Solve for x
    x = 57,630,724,096/156,902
  6. Step 6: Final answer
    x = 367,303.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.