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Finding the Third Proportional to 186,570 and 295,899

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Solution

The third proportional to 186,570 and 295,899 is: 469,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,570 : 295,899 = 295,899 : x
  2. Step 2: Convert to fraction form
    186,570/295,899 = 295,899/x
  3. Step 3: Cross multiply
    186,570x = 295,899 × 295,899
  4. Step 4: Simplify right side
    186,570x = 87,556,218,201
  5. Step 5: Solve for x
    x = 87,556,218,201/186,570
  6. Step 6: Final answer
    x = 469,294.20

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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.