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Finding the Third Proportional to 202,569.75 and 435,165.75

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Solution

The third proportional to 202,569.75 and 435,165.75 is: 934,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,569.75 : 435,165.75 = 435,165.75 : x
  2. Step 2: Convert to fraction form
    202,569.75/435,165.75 = 435,165.75/x
  3. Step 3: Cross multiply
    202,569.75x = 435,165.75 × 435,165.75
  4. Step 4: Simplify right side
    202,569.75x = 189,369,229,973.06
  5. Step 5: Solve for x
    x = 189,369,229,973.06/202,569.75
  6. Step 6: Final answer
    x = 934,834.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.