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Finding the Third Proportional to 134,818 and 289,988

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Solution

The third proportional to 134,818 and 289,988 is: 623,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,818 : 289,988 = 289,988 : x
  2. Step 2: Convert to fraction form
    134,818/289,988 = 289,988/x
  3. Step 3: Cross multiply
    134,818x = 289,988 × 289,988
  4. Step 4: Simplify right side
    134,818x = 84,093,040,144
  5. Step 5: Solve for x
    x = 84,093,040,144/134,818
  6. Step 6: Final answer
    x = 623,752.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.