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Finding the Third Proportional to 141,617 and 289,768

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Solution

The third proportional to 141,617 and 289,768 is: 592,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,617 : 289,768 = 289,768 : x
  2. Step 2: Convert to fraction form
    141,617/289,768 = 289,768/x
  3. Step 3: Cross multiply
    141,617x = 289,768 × 289,768
  4. Step 4: Simplify right side
    141,617x = 83,965,493,824
  5. Step 5: Solve for x
    x = 83,965,493,824/141,617
  6. Step 6: Final answer
    x = 592,905.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.