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Finding the Third Proportional to 233,190 and 513,348.75

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Solution

The third proportional to 233,190 and 513,348.75 is: 1,130,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,190 : 513,348.75 = 513,348.75 : x
  2. Step 2: Convert to fraction form
    233,190/513,348.75 = 513,348.75/x
  3. Step 3: Cross multiply
    233,190x = 513,348.75 × 513,348.75
  4. Step 4: Simplify right side
    233,190x = 263,526,939,126.56
  5. Step 5: Solve for x
    x = 263,526,939,126.56/233,190
  6. Step 6: Final answer
    x = 1,130,095.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.