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Finding the Third Proportional to 175,202 and 376,648

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Solution

The third proportional to 175,202 and 376,648 is: 809,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,202 : 376,648 = 376,648 : x
  2. Step 2: Convert to fraction form
    175,202/376,648 = 376,648/x
  3. Step 3: Cross multiply
    175,202x = 376,648 × 376,648
  4. Step 4: Simplify right side
    175,202x = 141,863,715,904
  5. Step 5: Solve for x
    x = 141,863,715,904/175,202
  6. Step 6: Final answer
    x = 809,715.16

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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.