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Finding the Third Proportional to 156,960 and 201,539

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Solution

The third proportional to 156,960 and 201,539 is: 258,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 201,539 = 201,539 : x
  2. Step 2: Convert to fraction form
    156,960/201,539 = 201,539/x
  3. Step 3: Cross multiply
    156,960x = 201,539 × 201,539
  4. Step 4: Simplify right side
    156,960x = 40,617,968,521
  5. Step 5: Solve for x
    x = 40,617,968,521/156,960
  6. Step 6: Final answer
    x = 258,779.11

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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.