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Finding the Third Proportional to 201,786 and 282,798.50

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Solution

The third proportional to 201,786 and 282,798.50 is: 396,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786 : 282,798.50 = 282,798.50 : x
  2. Step 2: Convert to fraction form
    201,786/282,798.50 = 282,798.50/x
  3. Step 3: Cross multiply
    201,786x = 282,798.50 × 282,798.50
  4. Step 4: Simplify right side
    201,786x = 79,974,991,602.25
  5. Step 5: Solve for x
    x = 79,974,991,602.25/201,786
  6. Step 6: Final answer
    x = 396,335.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.