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Finding the Third Proportional to 180,960 and 357,377

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Solution

The third proportional to 180,960 and 357,377 is: 705,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960 : 357,377 = 357,377 : x
  2. Step 2: Convert to fraction form
    180,960/357,377 = 357,377/x
  3. Step 3: Cross multiply
    180,960x = 357,377 × 357,377
  4. Step 4: Simplify right side
    180,960x = 127,718,320,129
  5. Step 5: Solve for x
    x = 127,718,320,129/180,960
  6. Step 6: Final answer
    x = 705,782.05

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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.