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Finding the Third Proportional to 169,502 and 376,178

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Solution

The third proportional to 169,502 and 376,178 is: 834,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,502 : 376,178 = 376,178 : x
  2. Step 2: Convert to fraction form
    169,502/376,178 = 376,178/x
  3. Step 3: Cross multiply
    169,502x = 376,178 × 376,178
  4. Step 4: Simplify right side
    169,502x = 141,509,887,684
  5. Step 5: Solve for x
    x = 141,509,887,684/169,502
  6. Step 6: Final answer
    x = 834,856.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.