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Finding the Third Proportional to 134,658 and 283,896

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Solution

The third proportional to 134,658 and 283,896 is: 598,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,658 : 283,896 = 283,896 : x
  2. Step 2: Convert to fraction form
    134,658/283,896 = 283,896/x
  3. Step 3: Cross multiply
    134,658x = 283,896 × 283,896
  4. Step 4: Simplify right side
    134,658x = 80,596,938,816
  5. Step 5: Solve for x
    x = 80,596,938,816/134,658
  6. Step 6: Final answer
    x = 598,530.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.