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Finding the Third Proportional to 154,264 and 312,820

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Solution

The third proportional to 154,264 and 312,820 is: 634,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,264 : 312,820 = 312,820 : x
  2. Step 2: Convert to fraction form
    154,264/312,820 = 312,820/x
  3. Step 3: Cross multiply
    154,264x = 312,820 × 312,820
  4. Step 4: Simplify right side
    154,264x = 97,856,352,400
  5. Step 5: Solve for x
    x = 97,856,352,400/154,264
  6. Step 6: Final answer
    x = 634,343.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.