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Finding the Third Proportional to 101,254.50 and 238,715

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Solution

The third proportional to 101,254.50 and 238,715 is: 562,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,254.50 : 238,715 = 238,715 : x
  2. Step 2: Convert to fraction form
    101,254.50/238,715 = 238,715/x
  3. Step 3: Cross multiply
    101,254.50x = 238,715 × 238,715
  4. Step 4: Simplify right side
    101,254.50x = 56,984,851,225
  5. Step 5: Solve for x
    x = 56,984,851,225/101,254.50
  6. Step 6: Final answer
    x = 562,788.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.