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Finding the Third Proportional to 136,543.22 and 297,021.94

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Solution

The third proportional to 136,543.22 and 297,021.94 is: 646,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,543.22 : 297,021.94 = 297,021.94 : x
  2. Step 2: Convert to fraction form
    136,543.22/297,021.94 = 297,021.94/x
  3. Step 3: Cross multiply
    136,543.22x = 297,021.94 × 297,021.94
  4. Step 4: Simplify right side
    136,543.22x = 88,222,031,356.25
  5. Step 5: Solve for x
    x = 88,222,031,356.25/136,543.22
  6. Step 6: Final answer
    x = 646,110.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.