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Finding the Third Proportional to 202,221 and 305,842

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Solution

The third proportional to 202,221 and 305,842 is: 462,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221 : 305,842 = 305,842 : x
  2. Step 2: Convert to fraction form
    202,221/305,842 = 305,842/x
  3. Step 3: Cross multiply
    202,221x = 305,842 × 305,842
  4. Step 4: Simplify right side
    202,221x = 93,539,328,964
  5. Step 5: Solve for x
    x = 93,539,328,964/202,221
  6. Step 6: Final answer
    x = 462,559.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.