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Finding the Third Proportional to 156,923.50 and 201,485

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Solution

The third proportional to 156,923.50 and 201,485 is: 258,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923.50 : 201,485 = 201,485 : x
  2. Step 2: Convert to fraction form
    156,923.50/201,485 = 201,485/x
  3. Step 3: Cross multiply
    156,923.50x = 201,485 × 201,485
  4. Step 4: Simplify right side
    156,923.50x = 40,596,205,225
  5. Step 5: Solve for x
    x = 40,596,205,225/156,923.50
  6. Step 6: Final answer
    x = 258,700.61

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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.