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Finding the Third Proportional to 186,784 and 284,490

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Solution

The third proportional to 186,784 and 284,490 is: 433,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,784 : 284,490 = 284,490 : x
  2. Step 2: Convert to fraction form
    186,784/284,490 = 284,490/x
  3. Step 3: Cross multiply
    186,784x = 284,490 × 284,490
  4. Step 4: Simplify right side
    186,784x = 80,934,560,100
  5. Step 5: Solve for x
    x = 80,934,560,100/186,784
  6. Step 6: Final answer
    x = 433,305.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.