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Finding the Third Proportional to 241,808 and 346,288

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Solution

The third proportional to 241,808 and 346,288 is: 495,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,808 : 346,288 = 346,288 : x
  2. Step 2: Convert to fraction form
    241,808/346,288 = 346,288/x
  3. Step 3: Cross multiply
    241,808x = 346,288 × 346,288
  4. Step 4: Simplify right side
    241,808x = 119,915,378,944
  5. Step 5: Solve for x
    x = 119,915,378,944/241,808
  6. Step 6: Final answer
    x = 495,911.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.