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Finding the Third Proportional to 156,931 and 201,497

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Solution

The third proportional to 156,931 and 201,497 is: 258,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931 : 201,497 = 201,497 : x
  2. Step 2: Convert to fraction form
    156,931/201,497 = 201,497/x
  3. Step 3: Cross multiply
    156,931x = 201,497 × 201,497
  4. Step 4: Simplify right side
    156,931x = 40,601,041,009
  5. Step 5: Solve for x
    x = 40,601,041,009/156,931
  6. Step 6: Final answer
    x = 258,719.06

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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.