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Finding the Third Proportional to 207,645 and 296,933.25

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Solution

The third proportional to 207,645 and 296,933.25 is: 424,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,645 : 296,933.25 = 296,933.25 : x
  2. Step 2: Convert to fraction form
    207,645/296,933.25 = 296,933.25/x
  3. Step 3: Cross multiply
    207,645x = 296,933.25 × 296,933.25
  4. Step 4: Simplify right side
    207,645x = 88,169,354,955.56
  5. Step 5: Solve for x
    x = 88,169,354,955.56/207,645
  6. Step 6: Final answer
    x = 424,615.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.