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Finding the Third Proportional to 170,070 and 370,764

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Solution

The third proportional to 170,070 and 370,764 is: 808,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,070 : 370,764 = 370,764 : x
  2. Step 2: Convert to fraction form
    170,070/370,764 = 370,764/x
  3. Step 3: Cross multiply
    170,070x = 370,764 × 370,764
  4. Step 4: Simplify right side
    170,070x = 137,465,943,696
  5. Step 5: Solve for x
    x = 137,465,943,696/170,070
  6. Step 6: Final answer
    x = 808,290.37

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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.