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Finding the Third Proportional to 108,488 and 228,640

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Solution

The third proportional to 108,488 and 228,640 is: 481,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488 : 228,640 = 228,640 : x
  2. Step 2: Convert to fraction form
    108,488/228,640 = 228,640/x
  3. Step 3: Cross multiply
    108,488x = 228,640 × 228,640
  4. Step 4: Simplify right side
    108,488x = 52,276,249,600
  5. Step 5: Solve for x
    x = 52,276,249,600/108,488
  6. Step 6: Final answer
    x = 481,862.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.