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Finding the Third Proportional to 202,410 and 302,514.75

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Solution

The third proportional to 202,410 and 302,514.75 is: 452,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,410 : 302,514.75 = 302,514.75 : x
  2. Step 2: Convert to fraction form
    202,410/302,514.75 = 302,514.75/x
  3. Step 3: Cross multiply
    202,410x = 302,514.75 × 302,514.75
  4. Step 4: Simplify right side
    202,410x = 91,515,173,967.56
  5. Step 5: Solve for x
    x = 91,515,173,967.56/202,410
  6. Step 6: Final answer
    x = 452,127.73

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