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Finding the Third Proportional to 135,958 and 293,750

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Solution

The third proportional to 135,958 and 293,750 is: 634,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958 : 293,750 = 293,750 : x
  2. Step 2: Convert to fraction form
    135,958/293,750 = 293,750/x
  3. Step 3: Cross multiply
    135,958x = 293,750 × 293,750
  4. Step 4: Simplify right side
    135,958x = 86,289,062,500
  5. Step 5: Solve for x
    x = 86,289,062,500/135,958
  6. Step 6: Final answer
    x = 634,674.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.