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Finding the Third Proportional to 190,088 and 284,566

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Solution

The third proportional to 190,088 and 284,566 is: 426,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,088 : 284,566 = 284,566 : x
  2. Step 2: Convert to fraction form
    190,088/284,566 = 284,566/x
  3. Step 3: Cross multiply
    190,088x = 284,566 × 284,566
  4. Step 4: Simplify right side
    190,088x = 80,977,808,356
  5. Step 5: Solve for x
    x = 80,977,808,356/190,088
  6. Step 6: Final answer
    x = 426,001.69

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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.