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Finding the Third Proportional to 159,050.25 and 343,010.25

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Solution

The third proportional to 159,050.25 and 343,010.25 is: 739,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,050.25 : 343,010.25 = 343,010.25 : x
  2. Step 2: Convert to fraction form
    159,050.25/343,010.25 = 343,010.25/x
  3. Step 3: Cross multiply
    159,050.25x = 343,010.25 × 343,010.25
  4. Step 4: Simplify right side
    159,050.25x = 117,656,031,605.06
  5. Step 5: Solve for x
    x = 117,656,031,605.06/159,050.25
  6. Step 6: Final answer
    x = 739,741.26

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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.