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Finding the Third Proportional to 268,358 and 401,158

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Solution

The third proportional to 268,358 and 401,158 is: 599,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,358 : 401,158 = 401,158 : x
  2. Step 2: Convert to fraction form
    268,358/401,158 = 401,158/x
  3. Step 3: Cross multiply
    268,358x = 401,158 × 401,158
  4. Step 4: Simplify right side
    268,358x = 160,927,740,964
  5. Step 5: Solve for x
    x = 160,927,740,964/268,358
  6. Step 6: Final answer
    x = 599,675.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.