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Finding the Third Proportional to 142,417 and 303,242

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Solution

The third proportional to 142,417 and 303,242 is: 645,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,417 : 303,242 = 303,242 : x
  2. Step 2: Convert to fraction form
    142,417/303,242 = 303,242/x
  3. Step 3: Cross multiply
    142,417x = 303,242 × 303,242
  4. Step 4: Simplify right side
    142,417x = 91,955,710,564
  5. Step 5: Solve for x
    x = 91,955,710,564/142,417
  6. Step 6: Final answer
    x = 645,679.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.