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Finding the Third Proportional to 185,621 and 282,784

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Solution

The third proportional to 185,621 and 282,784 is: 430,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,621 : 282,784 = 282,784 : x
  2. Step 2: Convert to fraction form
    185,621/282,784 = 282,784/x
  3. Step 3: Cross multiply
    185,621x = 282,784 × 282,784
  4. Step 4: Simplify right side
    185,621x = 79,966,790,656
  5. Step 5: Solve for x
    x = 79,966,790,656/185,621
  6. Step 6: Final answer
    x = 430,806.81

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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.