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Finding the Third Proportional to 175,176 and 385,340

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Solution

The third proportional to 175,176 and 385,340 is: 847,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,176 : 385,340 = 385,340 : x
  2. Step 2: Convert to fraction form
    175,176/385,340 = 385,340/x
  3. Step 3: Cross multiply
    175,176x = 385,340 × 385,340
  4. Step 4: Simplify right side
    175,176x = 148,486,915,600
  5. Step 5: Solve for x
    x = 148,486,915,600/175,176
  6. Step 6: Final answer
    x = 847,644.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.