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Finding the Third Proportional to 231,615 and 346,058

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Solution

The third proportional to 231,615 and 346,058 is: 517,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,615 : 346,058 = 346,058 : x
  2. Step 2: Convert to fraction form
    231,615/346,058 = 346,058/x
  3. Step 3: Cross multiply
    231,615x = 346,058 × 346,058
  4. Step 4: Simplify right side
    231,615x = 119,756,139,364
  5. Step 5: Solve for x
    x = 119,756,139,364/231,615
  6. Step 6: Final answer
    x = 517,048.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.