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Finding the Third Proportional to 180,060 and 416,859

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Solution

The third proportional to 180,060 and 416,859 is: 965,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,060 : 416,859 = 416,859 : x
  2. Step 2: Convert to fraction form
    180,060/416,859 = 416,859/x
  3. Step 3: Cross multiply
    180,060x = 416,859 × 416,859
  4. Step 4: Simplify right side
    180,060x = 173,771,425,881
  5. Step 5: Solve for x
    x = 173,771,425,881/180,060
  6. Step 6: Final answer
    x = 965,075.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.