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Finding the Third Proportional to 210,147.75 and 328,343.63

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Solution

The third proportional to 210,147.75 and 328,343.63 is: 513,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.75 : 328,343.63 = 328,343.63 : x
  2. Step 2: Convert to fraction form
    210,147.75/328,343.63 = 328,343.63/x
  3. Step 3: Cross multiply
    210,147.75x = 328,343.63 × 328,343.63
  4. Step 4: Simplify right side
    210,147.75x = 107,809,536,078.14
  5. Step 5: Solve for x
    x = 107,809,536,078.14/210,147.75
  6. Step 6: Final answer
    x = 513,017.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.