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Finding the Third Proportional to 170,998 and 371,202

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Solution

The third proportional to 170,998 and 371,202 is: 805,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,998 : 371,202 = 371,202 : x
  2. Step 2: Convert to fraction form
    170,998/371,202 = 371,202/x
  3. Step 3: Cross multiply
    170,998x = 371,202 × 371,202
  4. Step 4: Simplify right side
    170,998x = 137,790,924,804
  5. Step 5: Solve for x
    x = 137,790,924,804/170,998
  6. Step 6: Final answer
    x = 805,804.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.