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Finding the Third Proportional to 188,386 and 282,582

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Solution

The third proportional to 188,386 and 282,582 is: 423,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,386 : 282,582 = 282,582 : x
  2. Step 2: Convert to fraction form
    188,386/282,582 = 282,582/x
  3. Step 3: Cross multiply
    188,386x = 282,582 × 282,582
  4. Step 4: Simplify right side
    188,386x = 79,852,586,724
  5. Step 5: Solve for x
    x = 79,852,586,724/188,386
  6. Step 6: Final answer
    x = 423,877.50

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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.