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Finding the Third Proportional to 175,513 and 377,281

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Solution

The third proportional to 175,513 and 377,281 is: 810,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513 : 377,281 = 377,281 : x
  2. Step 2: Convert to fraction form
    175,513/377,281 = 377,281/x
  3. Step 3: Cross multiply
    175,513x = 377,281 × 377,281
  4. Step 4: Simplify right side
    175,513x = 142,340,952,961
  5. Step 5: Solve for x
    x = 142,340,952,961/175,513
  6. Step 6: Final answer
    x = 810,999.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.