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Finding the Third Proportional to 157,848 and 346,800

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Solution

The third proportional to 157,848 and 346,800 is: 761,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848 : 346,800 = 346,800 : x
  2. Step 2: Convert to fraction form
    157,848/346,800 = 346,800/x
  3. Step 3: Cross multiply
    157,848x = 346,800 × 346,800
  4. Step 4: Simplify right side
    157,848x = 120,270,240,000
  5. Step 5: Solve for x
    x = 120,270,240,000/157,848
  6. Step 6: Final answer
    x = 761,937.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.