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Finding the Third Proportional to 156,820 and 342,072

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Solution

The third proportional to 156,820 and 342,072 is: 746,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,820 : 342,072 = 342,072 : x
  2. Step 2: Convert to fraction form
    156,820/342,072 = 342,072/x
  3. Step 3: Cross multiply
    156,820x = 342,072 × 342,072
  4. Step 4: Simplify right side
    156,820x = 117,013,253,184
  5. Step 5: Solve for x
    x = 117,013,253,184/156,820
  6. Step 6: Final answer
    x = 746,162.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.