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Finding the Third Proportional to 133,232 and 278,778

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Solution

The third proportional to 133,232 and 278,778 is: 583,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232 : 278,778 = 278,778 : x
  2. Step 2: Convert to fraction form
    133,232/278,778 = 278,778/x
  3. Step 3: Cross multiply
    133,232x = 278,778 × 278,778
  4. Step 4: Simplify right side
    133,232x = 77,717,173,284
  5. Step 5: Solve for x
    x = 77,717,173,284/133,232
  6. Step 6: Final answer
    x = 583,322.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.