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Finding the Third Proportional to 179,965 and 416,630.50

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Solution

The third proportional to 179,965 and 416,630.50 is: 964,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,965 : 416,630.50 = 416,630.50 : x
  2. Step 2: Convert to fraction form
    179,965/416,630.50 = 416,630.50/x
  3. Step 3: Cross multiply
    179,965x = 416,630.50 × 416,630.50
  4. Step 4: Simplify right side
    179,965x = 173,580,973,530.25
  5. Step 5: Solve for x
    x = 173,580,973,530.25/179,965
  6. Step 6: Final answer
    x = 964,526.29

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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.