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Finding the Third Proportional to 106,671 and 230,445

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Solution

The third proportional to 106,671 and 230,445 is: 497,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,671 : 230,445 = 230,445 : x
  2. Step 2: Convert to fraction form
    106,671/230,445 = 230,445/x
  3. Step 3: Cross multiply
    106,671x = 230,445 × 230,445
  4. Step 4: Simplify right side
    106,671x = 53,104,898,025
  5. Step 5: Solve for x
    x = 53,104,898,025/106,671
  6. Step 6: Final answer
    x = 497,838.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.