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Finding the Third Proportional to 180,962 and 357,381

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Solution

The third proportional to 180,962 and 357,381 is: 705,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,962 : 357,381 = 357,381 : x
  2. Step 2: Convert to fraction form
    180,962/357,381 = 357,381/x
  3. Step 3: Cross multiply
    180,962x = 357,381 × 357,381
  4. Step 4: Simplify right side
    180,962x = 127,721,179,161
  5. Step 5: Solve for x
    x = 127,721,179,161/180,962
  6. Step 6: Final answer
    x = 705,790.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.