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Finding the Third Proportional to 140,786 and 303,748

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Solution

The third proportional to 140,786 and 303,748 is: 655,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,786 : 303,748 = 303,748 : x
  2. Step 2: Convert to fraction form
    140,786/303,748 = 303,748/x
  3. Step 3: Cross multiply
    140,786x = 303,748 × 303,748
  4. Step 4: Simplify right side
    140,786x = 92,262,847,504
  5. Step 5: Solve for x
    x = 92,262,847,504/140,786
  6. Step 6: Final answer
    x = 655,341.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.