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Finding the Third Proportional to 170,358 and 370,452

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Solution

The third proportional to 170,358 and 370,452 is: 805,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,358 : 370,452 = 370,452 : x
  2. Step 2: Convert to fraction form
    170,358/370,452 = 370,452/x
  3. Step 3: Cross multiply
    170,358x = 370,452 × 370,452
  4. Step 4: Simplify right side
    170,358x = 137,234,684,304
  5. Step 5: Solve for x
    x = 137,234,684,304/170,358
  6. Step 6: Final answer
    x = 805,566.42

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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.