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Finding the Third Proportional to 190,403 and 293,861

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Solution

The third proportional to 190,403 and 293,861 is: 453,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,403 : 293,861 = 293,861 : x
  2. Step 2: Convert to fraction form
    190,403/293,861 = 293,861/x
  3. Step 3: Cross multiply
    190,403x = 293,861 × 293,861
  4. Step 4: Simplify right side
    190,403x = 86,354,287,321
  5. Step 5: Solve for x
    x = 86,354,287,321/190,403
  6. Step 6: Final answer
    x = 453,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.