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Finding the Third Proportional to 157,041 and 343,417

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Solution

The third proportional to 157,041 and 343,417 is: 750,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041 : 343,417 = 343,417 : x
  2. Step 2: Convert to fraction form
    157,041/343,417 = 343,417/x
  3. Step 3: Cross multiply
    157,041x = 343,417 × 343,417
  4. Step 4: Simplify right side
    157,041x = 117,935,235,889
  5. Step 5: Solve for x
    x = 117,935,235,889/157,041
  6. Step 6: Final answer
    x = 750,983.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.