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Finding the Third Proportional to 228,621 and 308,398.50

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Solution

The third proportional to 228,621 and 308,398.50 is: 416,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,621 : 308,398.50 = 308,398.50 : x
  2. Step 2: Convert to fraction form
    228,621/308,398.50 = 308,398.50/x
  3. Step 3: Cross multiply
    228,621x = 308,398.50 × 308,398.50
  4. Step 4: Simplify right side
    228,621x = 95,109,634,802.25
  5. Step 5: Solve for x
    x = 95,109,634,802.25/228,621
  6. Step 6: Final answer
    x = 416,014.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.