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Finding the Third Proportional to 140,768 and 298,808

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Solution

The third proportional to 140,768 and 298,808 is: 634,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,768 : 298,808 = 298,808 : x
  2. Step 2: Convert to fraction form
    140,768/298,808 = 298,808/x
  3. Step 3: Cross multiply
    140,768x = 298,808 × 298,808
  4. Step 4: Simplify right side
    140,768x = 89,286,220,864
  5. Step 5: Solve for x
    x = 89,286,220,864/140,768
  6. Step 6: Final answer
    x = 634,279.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.