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Finding the Third Proportional to 175,707 and 376,200

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Solution

The third proportional to 175,707 and 376,200 is: 805,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,707 : 376,200 = 376,200 : x
  2. Step 2: Convert to fraction form
    175,707/376,200 = 376,200/x
  3. Step 3: Cross multiply
    175,707x = 376,200 × 376,200
  4. Step 4: Simplify right side
    175,707x = 141,526,440,000
  5. Step 5: Solve for x
    x = 141,526,440,000/175,707
  6. Step 6: Final answer
    x = 805,468.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.