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Finding the Third Proportional to 144,423 and 301,968

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Solution

The third proportional to 144,423 and 301,968 is: 631,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,423 : 301,968 = 301,968 : x
  2. Step 2: Convert to fraction form
    144,423/301,968 = 301,968/x
  3. Step 3: Cross multiply
    144,423x = 301,968 × 301,968
  4. Step 4: Simplify right side
    144,423x = 91,184,673,024
  5. Step 5: Solve for x
    x = 91,184,673,024/144,423
  6. Step 6: Final answer
    x = 631,372.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.