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Finding the Third Proportional to 156,594 and 238,004

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Solution

The third proportional to 156,594 and 238,004 is: 361,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,594 : 238,004 = 238,004 : x
  2. Step 2: Convert to fraction form
    156,594/238,004 = 238,004/x
  3. Step 3: Cross multiply
    156,594x = 238,004 × 238,004
  4. Step 4: Simplify right side
    156,594x = 56,645,904,016
  5. Step 5: Solve for x
    x = 56,645,904,016/156,594
  6. Step 6: Final answer
    x = 361,737.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.