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Finding the Third Proportional to 156,316.88 and 318,158.06

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Solution

The third proportional to 156,316.88 and 318,158.06 is: 647,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,316.88 : 318,158.06 = 318,158.06 : x
  2. Step 2: Convert to fraction form
    156,316.88/318,158.06 = 318,158.06/x
  3. Step 3: Cross multiply
    156,316.88x = 318,158.06 × 318,158.06
  4. Step 4: Simplify right side
    156,316.88x = 101,224,552,733.75
  5. Step 5: Solve for x
    x = 101,224,552,733.75/156,316.88
  6. Step 6: Final answer
    x = 647,559.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.