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Finding the Third Proportional to 135,984 and 294,564

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Solution

The third proportional to 135,984 and 294,564 is: 638,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,984 : 294,564 = 294,564 : x
  2. Step 2: Convert to fraction form
    135,984/294,564 = 294,564/x
  3. Step 3: Cross multiply
    135,984x = 294,564 × 294,564
  4. Step 4: Simplify right side
    135,984x = 86,767,950,096
  5. Step 5: Solve for x
    x = 86,767,950,096/135,984
  6. Step 6: Final answer
    x = 638,074.70

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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.