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Finding the Third Proportional to 156,211.03 and 336,155.06

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Solution

The third proportional to 156,211.03 and 336,155.06 is: 723,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,211.03 : 336,155.06 = 336,155.06 : x
  2. Step 2: Convert to fraction form
    156,211.03/336,155.06 = 336,155.06/x
  3. Step 3: Cross multiply
    156,211.03x = 336,155.06 × 336,155.06
  4. Step 4: Simplify right side
    156,211.03x = 113,000,226,044.38
  5. Step 5: Solve for x
    x = 113,000,226,044.38/156,211.03
  6. Step 6: Final answer
    x = 723,381.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.