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Finding the Third Proportional to 194,809 and 291,430

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Solution

The third proportional to 194,809 and 291,430 is: 435,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809 : 291,430 = 291,430 : x
  2. Step 2: Convert to fraction form
    194,809/291,430 = 291,430/x
  3. Step 3: Cross multiply
    194,809x = 291,430 × 291,430
  4. Step 4: Simplify right side
    194,809x = 84,931,444,900
  5. Step 5: Solve for x
    x = 84,931,444,900/194,809
  6. Step 6: Final answer
    x = 435,972.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.