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Finding the Third Proportional to 170,362 and 370,460

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Solution

The third proportional to 170,362 and 370,460 is: 805,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,362 : 370,460 = 370,460 : x
  2. Step 2: Convert to fraction form
    170,362/370,460 = 370,460/x
  3. Step 3: Cross multiply
    170,362x = 370,460 × 370,460
  4. Step 4: Simplify right side
    170,362x = 137,240,611,600
  5. Step 5: Solve for x
    x = 137,240,611,600/170,362
  6. Step 6: Final answer
    x = 805,582.30

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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.