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Finding the Third Proportional to 135,083 and 293,950

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Solution

The third proportional to 135,083 and 293,950 is: 639,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083 : 293,950 = 293,950 : x
  2. Step 2: Convert to fraction form
    135,083/293,950 = 293,950/x
  3. Step 3: Cross multiply
    135,083x = 293,950 × 293,950
  4. Step 4: Simplify right side
    135,083x = 86,406,602,500
  5. Step 5: Solve for x
    x = 86,406,602,500/135,083
  6. Step 6: Final answer
    x = 639,655.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.