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Finding the Third Proportional to 102,041 and 238,283

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Solution

The third proportional to 102,041 and 238,283 is: 556,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,041 : 238,283 = 238,283 : x
  2. Step 2: Convert to fraction form
    102,041/238,283 = 238,283/x
  3. Step 3: Cross multiply
    102,041x = 238,283 × 238,283
  4. Step 4: Simplify right side
    102,041x = 56,778,788,089
  5. Step 5: Solve for x
    x = 56,778,788,089/102,041
  6. Step 6: Final answer
    x = 556,431.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.