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Finding the Third Proportional to 202,135.50 and 317,054.25

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Solution

The third proportional to 202,135.50 and 317,054.25 is: 497,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,135.50 : 317,054.25 = 317,054.25 : x
  2. Step 2: Convert to fraction form
    202,135.50/317,054.25 = 317,054.25/x
  3. Step 3: Cross multiply
    202,135.50x = 317,054.25 × 317,054.25
  4. Step 4: Simplify right side
    202,135.50x = 100,523,397,443.06
  5. Step 5: Solve for x
    x = 100,523,397,443.06/202,135.50
  6. Step 6: Final answer
    x = 497,306.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.