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Finding the Third Proportional to 156,927 and 201,492

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Solution

The third proportional to 156,927 and 201,492 is: 258,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 201,492 = 201,492 : x
  2. Step 2: Convert to fraction form
    156,927/201,492 = 201,492/x
  3. Step 3: Cross multiply
    156,927x = 201,492 × 201,492
  4. Step 4: Simplify right side
    156,927x = 40,599,026,064
  5. Step 5: Solve for x
    x = 40,599,026,064/156,927
  6. Step 6: Final answer
    x = 258,712.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.