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Finding the Third Proportional to 194,088 and 308,628

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Solution

The third proportional to 194,088 and 308,628 is: 490,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,088 : 308,628 = 308,628 : x
  2. Step 2: Convert to fraction form
    194,088/308,628 = 308,628/x
  3. Step 3: Cross multiply
    194,088x = 308,628 × 308,628
  4. Step 4: Simplify right side
    194,088x = 95,251,242,384
  5. Step 5: Solve for x
    x = 95,251,242,384/194,088
  6. Step 6: Final answer
    x = 490,763.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.