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Finding the Third Proportional to 182,066.25 and 371,361

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Solution

The third proportional to 182,066.25 and 371,361 is: 757,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,066.25 : 371,361 = 371,361 : x
  2. Step 2: Convert to fraction form
    182,066.25/371,361 = 371,361/x
  3. Step 3: Cross multiply
    182,066.25x = 371,361 × 371,361
  4. Step 4: Simplify right side
    182,066.25x = 137,908,992,321
  5. Step 5: Solve for x
    x = 137,908,992,321/182,066.25
  6. Step 6: Final answer
    x = 757,465.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.