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Finding the Third Proportional to 135,994 and 294,584

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Solution

The third proportional to 135,994 and 294,584 is: 638,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,994 : 294,584 = 294,584 : x
  2. Step 2: Convert to fraction form
    135,994/294,584 = 294,584/x
  3. Step 3: Cross multiply
    135,994x = 294,584 × 294,584
  4. Step 4: Simplify right side
    135,994x = 86,779,733,056
  5. Step 5: Solve for x
    x = 86,779,733,056/135,994
  6. Step 6: Final answer
    x = 638,114.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.