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Finding the Third Proportional to 175,596 and 379,560

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Solution

The third proportional to 175,596 and 379,560 is: 820,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,596 : 379,560 = 379,560 : x
  2. Step 2: Convert to fraction form
    175,596/379,560 = 379,560/x
  3. Step 3: Cross multiply
    175,596x = 379,560 × 379,560
  4. Step 4: Simplify right side
    175,596x = 144,065,793,600
  5. Step 5: Solve for x
    x = 144,065,793,600/175,596
  6. Step 6: Final answer
    x = 820,438.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.