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Finding the Third Proportional to 175,176 and 376,596

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Solution

The third proportional to 175,176 and 376,596 is: 809,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,176 : 376,596 = 376,596 : x
  2. Step 2: Convert to fraction form
    175,176/376,596 = 376,596/x
  3. Step 3: Cross multiply
    175,176x = 376,596 × 376,596
  4. Step 4: Simplify right side
    175,176x = 141,824,547,216
  5. Step 5: Solve for x
    x = 141,824,547,216/175,176
  6. Step 6: Final answer
    x = 809,611.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.