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Finding the Third Proportional to 156,114 and 246,969

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Solution

The third proportional to 156,114 and 246,969 is: 390,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,114 : 246,969 = 246,969 : x
  2. Step 2: Convert to fraction form
    156,114/246,969 = 246,969/x
  3. Step 3: Cross multiply
    156,114x = 246,969 × 246,969
  4. Step 4: Simplify right side
    156,114x = 60,993,686,961
  5. Step 5: Solve for x
    x = 60,993,686,961/156,114
  6. Step 6: Final answer
    x = 390,699.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.