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Finding the Third Proportional to 159,050 and 343,010

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Solution

The third proportional to 159,050 and 343,010 is: 739,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,050 : 343,010 = 343,010 : x
  2. Step 2: Convert to fraction form
    159,050/343,010 = 343,010/x
  3. Step 3: Cross multiply
    159,050x = 343,010 × 343,010
  4. Step 4: Simplify right side
    159,050x = 117,655,860,100
  5. Step 5: Solve for x
    x = 117,655,860,100/159,050
  6. Step 6: Final answer
    x = 739,741.34

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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.