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Finding the Third Proportional to 156,985 and 224,197

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Solution

The third proportional to 156,985 and 224,197 is: 320,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985 : 224,197 = 224,197 : x
  2. Step 2: Convert to fraction form
    156,985/224,197 = 224,197/x
  3. Step 3: Cross multiply
    156,985x = 224,197 × 224,197
  4. Step 4: Simplify right side
    156,985x = 50,264,294,809
  5. Step 5: Solve for x
    x = 50,264,294,809/156,985
  6. Step 6: Final answer
    x = 320,185.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.