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Finding the Third Proportional to 193,464 and 258,022.50

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Solution

The third proportional to 193,464 and 258,022.50 is: 344,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,464 : 258,022.50 = 258,022.50 : x
  2. Step 2: Convert to fraction form
    193,464/258,022.50 = 258,022.50/x
  3. Step 3: Cross multiply
    193,464x = 258,022.50 × 258,022.50
  4. Step 4: Simplify right side
    193,464x = 66,575,610,506.25
  5. Step 5: Solve for x
    x = 66,575,610,506.25/193,464
  6. Step 6: Final answer
    x = 344,124.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.