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Finding the Third Proportional to 179,875 and 416,461

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Solution

The third proportional to 179,875 and 416,461 is: 964,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,875 : 416,461 = 416,461 : x
  2. Step 2: Convert to fraction form
    179,875/416,461 = 416,461/x
  3. Step 3: Cross multiply
    179,875x = 416,461 × 416,461
  4. Step 4: Simplify right side
    179,875x = 173,439,764,521
  5. Step 5: Solve for x
    x = 173,439,764,521/179,875
  6. Step 6: Final answer
    x = 964,223.85

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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.