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Finding the Third Proportional to 156,948 and 343,558

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Solution

The third proportional to 156,948 and 343,558 is: 752,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 343,558 = 343,558 : x
  2. Step 2: Convert to fraction form
    156,948/343,558 = 343,558/x
  3. Step 3: Cross multiply
    156,948x = 343,558 × 343,558
  4. Step 4: Simplify right side
    156,948x = 118,032,099,364
  5. Step 5: Solve for x
    x = 118,032,099,364/156,948
  6. Step 6: Final answer
    x = 752,045.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.