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Finding the Third Proportional to 245,724 and 346,266

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Solution

The third proportional to 245,724 and 346,266 is: 487,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,724 : 346,266 = 346,266 : x
  2. Step 2: Convert to fraction form
    245,724/346,266 = 346,266/x
  3. Step 3: Cross multiply
    245,724x = 346,266 × 346,266
  4. Step 4: Simplify right side
    245,724x = 119,900,142,756
  5. Step 5: Solve for x
    x = 119,900,142,756/245,724
  6. Step 6: Final answer
    x = 487,946.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.