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Finding the Third Proportional to 236,046 and 360,951

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Solution

The third proportional to 236,046 and 360,951 is: 551,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,046 : 360,951 = 360,951 : x
  2. Step 2: Convert to fraction form
    236,046/360,951 = 360,951/x
  3. Step 3: Cross multiply
    236,046x = 360,951 × 360,951
  4. Step 4: Simplify right side
    236,046x = 130,285,624,401
  5. Step 5: Solve for x
    x = 130,285,624,401/236,046
  6. Step 6: Final answer
    x = 551,950.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.