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Finding the Third Proportional to 179,434 and 260,798

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Solution

The third proportional to 179,434 and 260,798 is: 379,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,434 : 260,798 = 260,798 : x
  2. Step 2: Convert to fraction form
    179,434/260,798 = 260,798/x
  3. Step 3: Cross multiply
    179,434x = 260,798 × 260,798
  4. Step 4: Simplify right side
    179,434x = 68,015,596,804
  5. Step 5: Solve for x
    x = 68,015,596,804/179,434
  6. Step 6: Final answer
    x = 379,056.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.