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Finding the Third Proportional to 144,848 and 307,084

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Solution

The third proportional to 144,848 and 307,084 is: 651,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,848 : 307,084 = 307,084 : x
  2. Step 2: Convert to fraction form
    144,848/307,084 = 307,084/x
  3. Step 3: Cross multiply
    144,848x = 307,084 × 307,084
  4. Step 4: Simplify right side
    144,848x = 94,300,583,056
  5. Step 5: Solve for x
    x = 94,300,583,056/144,848
  6. Step 6: Final answer
    x = 651,031.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.