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Finding the Third Proportional to 156,024 and 342,557

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Solution

The third proportional to 156,024 and 342,557 is: 752,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,024 : 342,557 = 342,557 : x
  2. Step 2: Convert to fraction form
    156,024/342,557 = 342,557/x
  3. Step 3: Cross multiply
    156,024x = 342,557 × 342,557
  4. Step 4: Simplify right side
    156,024x = 117,345,298,249
  5. Step 5: Solve for x
    x = 117,345,298,249/156,024
  6. Step 6: Final answer
    x = 752,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.