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Finding the Third Proportional to 190,694 and 282,783

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Solution

The third proportional to 190,694 and 282,783 is: 419,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,694 : 282,783 = 282,783 : x
  2. Step 2: Convert to fraction form
    190,694/282,783 = 282,783/x
  3. Step 3: Cross multiply
    190,694x = 282,783 × 282,783
  4. Step 4: Simplify right side
    190,694x = 79,966,225,089
  5. Step 5: Solve for x
    x = 79,966,225,089/190,694
  6. Step 6: Final answer
    x = 419,343.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.