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Finding the Third Proportional to 186,852 and 282,222

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Solution

The third proportional to 186,852 and 282,222 is: 426,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,852 : 282,222 = 282,222 : x
  2. Step 2: Convert to fraction form
    186,852/282,222 = 282,222/x
  3. Step 3: Cross multiply
    186,852x = 282,222 × 282,222
  4. Step 4: Simplify right side
    186,852x = 79,649,257,284
  5. Step 5: Solve for x
    x = 79,649,257,284/186,852
  6. Step 6: Final answer
    x = 426,269.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.