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Finding the Third Proportional to 194,152 and 293,010

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Solution

The third proportional to 194,152 and 293,010 is: 442,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,152 : 293,010 = 293,010 : x
  2. Step 2: Convert to fraction form
    194,152/293,010 = 293,010/x
  3. Step 3: Cross multiply
    194,152x = 293,010 × 293,010
  4. Step 4: Simplify right side
    194,152x = 85,854,860,100
  5. Step 5: Solve for x
    x = 85,854,860,100/194,152
  6. Step 6: Final answer
    x = 442,204.36

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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.