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Finding the Third Proportional to 156,767 and 342,982

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Solution

The third proportional to 156,767 and 342,982 is: 750,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,767 : 342,982 = 342,982 : x
  2. Step 2: Convert to fraction form
    156,767/342,982 = 342,982/x
  3. Step 3: Cross multiply
    156,767x = 342,982 × 342,982
  4. Step 4: Simplify right side
    156,767x = 117,636,652,324
  5. Step 5: Solve for x
    x = 117,636,652,324/156,767
  6. Step 6: Final answer
    x = 750,391.68

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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.