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Finding the Third Proportional to 170,054 and 370,726

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Solution

The third proportional to 170,054 and 370,726 is: 808,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,054 : 370,726 = 370,726 : x
  2. Step 2: Convert to fraction form
    170,054/370,726 = 370,726/x
  3. Step 3: Cross multiply
    170,054x = 370,726 × 370,726
  4. Step 4: Simplify right side
    170,054x = 137,437,767,076
  5. Step 5: Solve for x
    x = 137,437,767,076/170,054
  6. Step 6: Final answer
    x = 808,200.73

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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.