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Finding the Third Proportional to 156,598 and 238,010

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Solution

The third proportional to 156,598 and 238,010 is: 361,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,598 : 238,010 = 238,010 : x
  2. Step 2: Convert to fraction form
    156,598/238,010 = 238,010/x
  3. Step 3: Cross multiply
    156,598x = 238,010 × 238,010
  4. Step 4: Simplify right side
    156,598x = 56,648,760,100
  5. Step 5: Solve for x
    x = 56,648,760,100/156,598
  6. Step 6: Final answer
    x = 361,746.38

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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.