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Finding the Third Proportional to 156,352 and 368,722

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Solution

The third proportional to 156,352 and 368,722 is: 869,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,352 : 368,722 = 368,722 : x
  2. Step 2: Convert to fraction form
    156,352/368,722 = 368,722/x
  3. Step 3: Cross multiply
    156,352x = 368,722 × 368,722
  4. Step 4: Simplify right side
    156,352x = 135,955,913,284
  5. Step 5: Solve for x
    x = 135,955,913,284/156,352
  6. Step 6: Final answer
    x = 869,550.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.