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Finding the Third Proportional to 108,260 and 233,752

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Solution

The third proportional to 108,260 and 233,752 is: 504,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,260 : 233,752 = 233,752 : x
  2. Step 2: Convert to fraction form
    108,260/233,752 = 233,752/x
  3. Step 3: Cross multiply
    108,260x = 233,752 × 233,752
  4. Step 4: Simplify right side
    108,260x = 54,639,997,504
  5. Step 5: Solve for x
    x = 54,639,997,504/108,260
  6. Step 6: Final answer
    x = 504,710.86

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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.