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Finding the Third Proportional to 179,478 and 377,547

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Solution

The third proportional to 179,478 and 377,547 is: 794,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478 : 377,547 = 377,547 : x
  2. Step 2: Convert to fraction form
    179,478/377,547 = 377,547/x
  3. Step 3: Cross multiply
    179,478x = 377,547 × 377,547
  4. Step 4: Simplify right side
    179,478x = 142,541,737,209
  5. Step 5: Solve for x
    x = 142,541,737,209/179,478
  6. Step 6: Final answer
    x = 794,201.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.