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Finding the Third Proportional to 156,946 and 201,518

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Solution

The third proportional to 156,946 and 201,518 is: 258,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 201,518 = 201,518 : x
  2. Step 2: Convert to fraction form
    156,946/201,518 = 201,518/x
  3. Step 3: Cross multiply
    156,946x = 201,518 × 201,518
  4. Step 4: Simplify right side
    156,946x = 40,609,504,324
  5. Step 5: Solve for x
    x = 40,609,504,324/156,946
  6. Step 6: Final answer
    x = 258,748.26

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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.