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Finding the Third Proportional to 153,190 and 233,025

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Solution

The third proportional to 153,190 and 233,025 is: 354,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190 : 233,025 = 233,025 : x
  2. Step 2: Convert to fraction form
    153,190/233,025 = 233,025/x
  3. Step 3: Cross multiply
    153,190x = 233,025 × 233,025
  4. Step 4: Simplify right side
    153,190x = 54,300,650,625
  5. Step 5: Solve for x
    x = 54,300,650,625/153,190
  6. Step 6: Final answer
    x = 354,466.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.