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Finding the Third Proportional to 170,502 and 371,532

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Solution

The third proportional to 170,502 and 371,532 is: 809,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,502 : 371,532 = 371,532 : x
  2. Step 2: Convert to fraction form
    170,502/371,532 = 371,532/x
  3. Step 3: Cross multiply
    170,502x = 371,532 × 371,532
  4. Step 4: Simplify right side
    170,502x = 138,036,027,024
  5. Step 5: Solve for x
    x = 138,036,027,024/170,502
  6. Step 6: Final answer
    x = 809,585.97

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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.