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Finding the Third Proportional to 140,654 and 303,304

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Solution

The third proportional to 140,654 and 303,304 is: 654,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,654 : 303,304 = 303,304 : x
  2. Step 2: Convert to fraction form
    140,654/303,304 = 303,304/x
  3. Step 3: Cross multiply
    140,654x = 303,304 × 303,304
  4. Step 4: Simplify right side
    140,654x = 91,993,316,416
  5. Step 5: Solve for x
    x = 91,993,316,416/140,654
  6. Step 6: Final answer
    x = 654,039.82

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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.