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Finding the Third Proportional to 134,417 and 289,833

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Solution

The third proportional to 134,417 and 289,833 is: 624,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,417 : 289,833 = 289,833 : x
  2. Step 2: Convert to fraction form
    134,417/289,833 = 289,833/x
  3. Step 3: Cross multiply
    134,417x = 289,833 × 289,833
  4. Step 4: Simplify right side
    134,417x = 84,003,167,889
  5. Step 5: Solve for x
    x = 84,003,167,889/134,417
  6. Step 6: Final answer
    x = 624,944.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.