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Finding the Third Proportional to 168,248.25 and 258,607.69

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Solution

The third proportional to 168,248.25 and 258,607.69 is: 397,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,248.25 : 258,607.69 = 258,607.69 : x
  2. Step 2: Convert to fraction form
    168,248.25/258,607.69 = 258,607.69/x
  3. Step 3: Cross multiply
    168,248.25x = 258,607.69 × 258,607.69
  4. Step 4: Simplify right side
    168,248.25x = 66,877,936,034.10
  5. Step 5: Solve for x
    x = 66,877,936,034.10/168,248.25
  6. Step 6: Final answer
    x = 397,495.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.