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Finding the Third Proportional to 108,615 and 232,417

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Solution

The third proportional to 108,615 and 232,417 is: 497,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,615 : 232,417 = 232,417 : x
  2. Step 2: Convert to fraction form
    108,615/232,417 = 232,417/x
  3. Step 3: Cross multiply
    108,615x = 232,417 × 232,417
  4. Step 4: Simplify right side
    108,615x = 54,017,661,889
  5. Step 5: Solve for x
    x = 54,017,661,889/108,615
  6. Step 6: Final answer
    x = 497,331.51

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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.