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Finding the Third Proportional to 156,332.50 and 237,658

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Solution

The third proportional to 156,332.50 and 237,658 is: 361,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,332.50 : 237,658 = 237,658 : x
  2. Step 2: Convert to fraction form
    156,332.50/237,658 = 237,658/x
  3. Step 3: Cross multiply
    156,332.50x = 237,658 × 237,658
  4. Step 4: Simplify right side
    156,332.50x = 56,481,324,964
  5. Step 5: Solve for x
    x = 56,481,324,964/156,332.50
  6. Step 6: Final answer
    x = 361,289.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.