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Finding the Third Proportional to 202,389.75 and 297,023.06

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Solution

The third proportional to 202,389.75 and 297,023.06 is: 435,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,389.75 : 297,023.06 = 297,023.06 : x
  2. Step 2: Convert to fraction form
    202,389.75/297,023.06 = 297,023.06/x
  3. Step 3: Cross multiply
    202,389.75x = 297,023.06 × 297,023.06
  4. Step 4: Simplify right side
    202,389.75x = 88,222,699,656.88
  5. Step 5: Solve for x
    x = 88,222,699,656.88/202,389.75
  6. Step 6: Final answer
    x = 435,904.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.