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Finding the Third Proportional to 202,456 and 302,040

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Solution

The third proportional to 202,456 and 302,040 is: 450,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,456 : 302,040 = 302,040 : x
  2. Step 2: Convert to fraction form
    202,456/302,040 = 302,040/x
  3. Step 3: Cross multiply
    202,456x = 302,040 × 302,040
  4. Step 4: Simplify right side
    202,456x = 91,228,161,600
  5. Step 5: Solve for x
    x = 91,228,161,600/202,456
  6. Step 6: Final answer
    x = 450,607.35

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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.