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Finding the Third Proportional to 157,848 and 335,280

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Solution

The third proportional to 157,848 and 335,280 is: 712,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848 : 335,280 = 335,280 : x
  2. Step 2: Convert to fraction form
    157,848/335,280 = 335,280/x
  3. Step 3: Cross multiply
    157,848x = 335,280 × 335,280
  4. Step 4: Simplify right side
    157,848x = 112,412,678,400
  5. Step 5: Solve for x
    x = 112,412,678,400/157,848
  6. Step 6: Final answer
    x = 712,157.76

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Why These Related Problems?

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