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Finding the Third Proportional to 108,490 and 233,629

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Solution

The third proportional to 108,490 and 233,629 is: 503,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,490 : 233,629 = 233,629 : x
  2. Step 2: Convert to fraction form
    108,490/233,629 = 233,629/x
  3. Step 3: Cross multiply
    108,490x = 233,629 × 233,629
  4. Step 4: Simplify right side
    108,490x = 54,582,509,641
  5. Step 5: Solve for x
    x = 54,582,509,641/108,490
  6. Step 6: Final answer
    x = 503,110.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.