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Finding the Third Proportional to 174,266.50 and 258,160.50

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Solution

The third proportional to 174,266.50 and 258,160.50 is: 382,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,266.50 : 258,160.50 = 258,160.50 : x
  2. Step 2: Convert to fraction form
    174,266.50/258,160.50 = 258,160.50/x
  3. Step 3: Cross multiply
    174,266.50x = 258,160.50 × 258,160.50
  4. Step 4: Simplify right side
    174,266.50x = 66,646,843,760.25
  5. Step 5: Solve for x
    x = 66,646,843,760.25/174,266.50
  6. Step 6: Final answer
    x = 382,442.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.