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Finding the Third Proportional to 156,784 and 235,536

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Solution

The third proportional to 156,784 and 235,536 is: 353,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 235,536 = 235,536 : x
  2. Step 2: Convert to fraction form
    156,784/235,536 = 235,536/x
  3. Step 3: Cross multiply
    156,784x = 235,536 × 235,536
  4. Step 4: Simplify right side
    156,784x = 55,477,207,296
  5. Step 5: Solve for x
    x = 55,477,207,296/156,784
  6. Step 6: Final answer
    x = 353,844.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.