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Finding the Third Proportional to 175,276 and 383,716

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Solution

The third proportional to 175,276 and 383,716 is: 840,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,276 : 383,716 = 383,716 : x
  2. Step 2: Convert to fraction form
    175,276/383,716 = 383,716/x
  3. Step 3: Cross multiply
    175,276x = 383,716 × 383,716
  4. Step 4: Simplify right side
    175,276x = 147,237,968,656
  5. Step 5: Solve for x
    x = 147,237,968,656/175,276
  6. Step 6: Final answer
    x = 840,034.97

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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.