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Finding the Third Proportional to 142,501 and 304,912

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Solution

The third proportional to 142,501 and 304,912 is: 652,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501 : 304,912 = 304,912 : x
  2. Step 2: Convert to fraction form
    142,501/304,912 = 304,912/x
  3. Step 3: Cross multiply
    142,501x = 304,912 × 304,912
  4. Step 4: Simplify right side
    142,501x = 92,971,327,744
  5. Step 5: Solve for x
    x = 92,971,327,744/142,501
  6. Step 6: Final answer
    x = 652,425.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.