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Finding the Third Proportional to 156,480 and 337,848

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Solution

The third proportional to 156,480 and 337,848 is: 729,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480 : 337,848 = 337,848 : x
  2. Step 2: Convert to fraction form
    156,480/337,848 = 337,848/x
  3. Step 3: Cross multiply
    156,480x = 337,848 × 337,848
  4. Step 4: Simplify right side
    156,480x = 114,141,271,104
  5. Step 5: Solve for x
    x = 114,141,271,104/156,480
  6. Step 6: Final answer
    x = 729,430.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.