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Finding the Third Proportional to 180,058 and 416,854

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Solution

The third proportional to 180,058 and 416,854 is: 965,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,058 : 416,854 = 416,854 : x
  2. Step 2: Convert to fraction form
    180,058/416,854 = 416,854/x
  3. Step 3: Cross multiply
    180,058x = 416,854 × 416,854
  4. Step 4: Simplify right side
    180,058x = 173,767,257,316
  5. Step 5: Solve for x
    x = 173,767,257,316/180,058
  6. Step 6: Final answer
    x = 965,062.69

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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.