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Finding the Third Proportional to 142,672 and 303,776

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Solution

The third proportional to 142,672 and 303,776 is: 646,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,672 : 303,776 = 303,776 : x
  2. Step 2: Convert to fraction form
    142,672/303,776 = 303,776/x
  3. Step 3: Cross multiply
    142,672x = 303,776 × 303,776
  4. Step 4: Simplify right side
    142,672x = 92,279,858,176
  5. Step 5: Solve for x
    x = 92,279,858,176/142,672
  6. Step 6: Final answer
    x = 646,797.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.