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Finding the Third Proportional to 202,662.75 and 302,860.13

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Solution

The third proportional to 202,662.75 and 302,860.13 is: 452,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,662.75 : 302,860.13 = 302,860.13 : x
  2. Step 2: Convert to fraction form
    202,662.75/302,860.13 = 302,860.13/x
  3. Step 3: Cross multiply
    202,662.75x = 302,860.13 × 302,860.13
  4. Step 4: Simplify right side
    202,662.75x = 91,724,255,315.02
  5. Step 5: Solve for x
    x = 91,724,255,315.02/202,662.75
  6. Step 6: Final answer
    x = 452,595.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.