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Finding the Third Proportional to 144,445 and 322,084

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Solution

The third proportional to 144,445 and 322,084 is: 718,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,445 : 322,084 = 322,084 : x
  2. Step 2: Convert to fraction form
    144,445/322,084 = 322,084/x
  3. Step 3: Cross multiply
    144,445x = 322,084 × 322,084
  4. Step 4: Simplify right side
    144,445x = 103,738,103,056
  5. Step 5: Solve for x
    x = 103,738,103,056/144,445
  6. Step 6: Final answer
    x = 718,184.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.