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Finding the Third Proportional to 170,189 and 371,541

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Solution

The third proportional to 170,189 and 371,541 is: 811,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,189 : 371,541 = 371,541 : x
  2. Step 2: Convert to fraction form
    170,189/371,541 = 371,541/x
  3. Step 3: Cross multiply
    170,189x = 371,541 × 371,541
  4. Step 4: Simplify right side
    170,189x = 138,042,714,681
  5. Step 5: Solve for x
    x = 138,042,714,681/170,189
  6. Step 6: Final answer
    x = 811,114.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.