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Finding the Third Proportional to 170,301 and 370,140

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Solution

The third proportional to 170,301 and 370,140 is: 804,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,301 : 370,140 = 370,140 : x
  2. Step 2: Convert to fraction form
    170,301/370,140 = 370,140/x
  3. Step 3: Cross multiply
    170,301x = 370,140 × 370,140
  4. Step 4: Simplify right side
    170,301x = 137,003,619,600
  5. Step 5: Solve for x
    x = 137,003,619,600/170,301
  6. Step 6: Final answer
    x = 804,479.24

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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.