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Finding the Third Proportional to 146,292.75 and 229,548.09

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Solution

The third proportional to 146,292.75 and 229,548.09 is: 360,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,292.75 : 229,548.09 = 229,548.09 : x
  2. Step 2: Convert to fraction form
    146,292.75/229,548.09 = 229,548.09/x
  3. Step 3: Cross multiply
    146,292.75x = 229,548.09 × 229,548.09
  4. Step 4: Simplify right side
    146,292.75x = 52,692,327,344.26
  5. Step 5: Solve for x
    x = 52,692,327,344.26/146,292.75
  6. Step 6: Final answer
    x = 360,184.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.