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Finding the Third Proportional to 157,426 and 339,729

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Solution

The third proportional to 157,426 and 339,729 is: 733,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,426 : 339,729 = 339,729 : x
  2. Step 2: Convert to fraction form
    157,426/339,729 = 339,729/x
  3. Step 3: Cross multiply
    157,426x = 339,729 × 339,729
  4. Step 4: Simplify right side
    157,426x = 115,415,793,441
  5. Step 5: Solve for x
    x = 115,415,793,441/157,426
  6. Step 6: Final answer
    x = 733,143.15

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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.