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Finding the Third Proportional to 158,017 and 334,621

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Solution

The third proportional to 158,017 and 334,621 is: 708,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,017 : 334,621 = 334,621 : x
  2. Step 2: Convert to fraction form
    158,017/334,621 = 334,621/x
  3. Step 3: Cross multiply
    158,017x = 334,621 × 334,621
  4. Step 4: Simplify right side
    158,017x = 111,971,213,641
  5. Step 5: Solve for x
    x = 111,971,213,641/158,017
  6. Step 6: Final answer
    x = 708,602.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.