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Finding the Third Proportional to 108,192 and 234,639

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Solution

The third proportional to 108,192 and 234,639 is: 508,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,192 : 234,639 = 234,639 : x
  2. Step 2: Convert to fraction form
    108,192/234,639 = 234,639/x
  3. Step 3: Cross multiply
    108,192x = 234,639 × 234,639
  4. Step 4: Simplify right side
    108,192x = 55,055,460,321
  5. Step 5: Solve for x
    x = 55,055,460,321/108,192
  6. Step 6: Final answer
    x = 508,868.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.