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Finding the Third Proportional to 228,772 and 344,958

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Solution

The third proportional to 228,772 and 344,958 is: 520,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,772 : 344,958 = 344,958 : x
  2. Step 2: Convert to fraction form
    228,772/344,958 = 344,958/x
  3. Step 3: Cross multiply
    228,772x = 344,958 × 344,958
  4. Step 4: Simplify right side
    228,772x = 118,996,021,764
  5. Step 5: Solve for x
    x = 118,996,021,764/228,772
  6. Step 6: Final answer
    x = 520,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.