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Finding the Third Proportional to 156,724 and 236,543

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Solution

The third proportional to 156,724 and 236,543 is: 357,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724 : 236,543 = 236,543 : x
  2. Step 2: Convert to fraction form
    156,724/236,543 = 236,543/x
  3. Step 3: Cross multiply
    156,724x = 236,543 × 236,543
  4. Step 4: Simplify right side
    156,724x = 55,952,590,849
  5. Step 5: Solve for x
    x = 55,952,590,849/156,724
  6. Step 6: Final answer
    x = 357,013.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.