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Finding the Third Proportional to 190,724 and 286,000

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Solution

The third proportional to 190,724 and 286,000 is: 428,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,724 : 286,000 = 286,000 : x
  2. Step 2: Convert to fraction form
    190,724/286,000 = 286,000/x
  3. Step 3: Cross multiply
    190,724x = 286,000 × 286,000
  4. Step 4: Simplify right side
    190,724x = 81,796,000,000
  5. Step 5: Solve for x
    x = 81,796,000,000/190,724
  6. Step 6: Final answer
    x = 428,871.04

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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.