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Finding the Third Proportional to 156,462.50 and 235,423

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Solution

The third proportional to 156,462.50 and 235,423 is: 354,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,462.50 : 235,423 = 235,423 : x
  2. Step 2: Convert to fraction form
    156,462.50/235,423 = 235,423/x
  3. Step 3: Cross multiply
    156,462.50x = 235,423 × 235,423
  4. Step 4: Simplify right side
    156,462.50x = 55,423,988,929
  5. Step 5: Solve for x
    x = 55,423,988,929/156,462.50
  6. Step 6: Final answer
    x = 354,231.77

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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.