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Finding the Third Proportional to 194,958 and 293,877

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Solution

The third proportional to 194,958 and 293,877 is: 442,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,958 : 293,877 = 293,877 : x
  2. Step 2: Convert to fraction form
    194,958/293,877 = 293,877/x
  3. Step 3: Cross multiply
    194,958x = 293,877 × 293,877
  4. Step 4: Simplify right side
    194,958x = 86,363,691,129
  5. Step 5: Solve for x
    x = 86,363,691,129/194,958
  6. Step 6: Final answer
    x = 442,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.