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Finding the Third Proportional to 186,562 and 295,889

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Solution

The third proportional to 186,562 and 295,889 is: 469,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,562 : 295,889 = 295,889 : x
  2. Step 2: Convert to fraction form
    186,562/295,889 = 295,889/x
  3. Step 3: Cross multiply
    186,562x = 295,889 × 295,889
  4. Step 4: Simplify right side
    186,562x = 87,550,300,321
  5. Step 5: Solve for x
    x = 87,550,300,321/186,562
  6. Step 6: Final answer
    x = 469,282.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.