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Finding the Third Proportional to 134,724 and 203,778

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Solution

The third proportional to 134,724 and 203,778 is: 308,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,724 : 203,778 = 203,778 : x
  2. Step 2: Convert to fraction form
    134,724/203,778 = 203,778/x
  3. Step 3: Cross multiply
    134,724x = 203,778 × 203,778
  4. Step 4: Simplify right side
    134,724x = 41,525,473,284
  5. Step 5: Solve for x
    x = 41,525,473,284/134,724
  6. Step 6: Final answer
    x = 308,226.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.