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Finding the Third Proportional to 301,333 and 442,158

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Solution

The third proportional to 301,333 and 442,158 is: 648,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,333 : 442,158 = 442,158 : x
  2. Step 2: Convert to fraction form
    301,333/442,158 = 442,158/x
  3. Step 3: Cross multiply
    301,333x = 442,158 × 442,158
  4. Step 4: Simplify right side
    301,333x = 195,503,696,964
  5. Step 5: Solve for x
    x = 195,503,696,964/301,333
  6. Step 6: Final answer
    x = 648,796.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.