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Finding the Third Proportional to 175,336 and 383,476

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Solution

The third proportional to 175,336 and 383,476 is: 838,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,336 : 383,476 = 383,476 : x
  2. Step 2: Convert to fraction form
    175,336/383,476 = 383,476/x
  3. Step 3: Cross multiply
    175,336x = 383,476 × 383,476
  4. Step 4: Simplify right side
    175,336x = 147,053,842,576
  5. Step 5: Solve for x
    x = 147,053,842,576/175,336
  6. Step 6: Final answer
    x = 838,697.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.