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Finding the Third Proportional to 180,961 and 357,380

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Solution

The third proportional to 180,961 and 357,380 is: 705,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,961 : 357,380 = 357,380 : x
  2. Step 2: Convert to fraction form
    180,961/357,380 = 357,380/x
  3. Step 3: Cross multiply
    180,961x = 357,380 × 357,380
  4. Step 4: Simplify right side
    180,961x = 127,720,464,400
  5. Step 5: Solve for x
    x = 127,720,464,400/180,961
  6. Step 6: Final answer
    x = 705,790.00

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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.