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Finding the Third Proportional to 156,461.63 and 235,421.44

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Solution

The third proportional to 156,461.63 and 235,421.44 is: 354,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,461.63 : 235,421.44 = 235,421.44 : x
  2. Step 2: Convert to fraction form
    156,461.63/235,421.44 = 235,421.44/x
  3. Step 3: Cross multiply
    156,461.63x = 235,421.44 × 235,421.44
  4. Step 4: Simplify right side
    156,461.63x = 55,423,253,234.57
  5. Step 5: Solve for x
    x = 55,423,253,234.57/156,461.63
  6. Step 6: Final answer
    x = 354,229.05

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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.