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Finding the Third Proportional to 194,770 and 293,437

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Solution

The third proportional to 194,770 and 293,437 is: 442,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,770 : 293,437 = 293,437 : x
  2. Step 2: Convert to fraction form
    194,770/293,437 = 293,437/x
  3. Step 3: Cross multiply
    194,770x = 293,437 × 293,437
  4. Step 4: Simplify right side
    194,770x = 86,105,272,969
  5. Step 5: Solve for x
    x = 86,105,272,969/194,770
  6. Step 6: Final answer
    x = 442,086.94

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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.