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Finding the Third Proportional to 108,644.75 and 235,378.25

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Solution

The third proportional to 108,644.75 and 235,378.25 is: 509,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,644.75 : 235,378.25 = 235,378.25 : x
  2. Step 2: Convert to fraction form
    108,644.75/235,378.25 = 235,378.25/x
  3. Step 3: Cross multiply
    108,644.75x = 235,378.25 × 235,378.25
  4. Step 4: Simplify right side
    108,644.75x = 55,402,920,573.06
  5. Step 5: Solve for x
    x = 55,402,920,573.06/108,644.75
  6. Step 6: Final answer
    x = 509,945.68

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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.