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Finding the Third Proportional to 144,944 and 307,344

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Solution

The third proportional to 144,944 and 307,344 is: 651,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,944 : 307,344 = 307,344 : x
  2. Step 2: Convert to fraction form
    144,944/307,344 = 307,344/x
  3. Step 3: Cross multiply
    144,944x = 307,344 × 307,344
  4. Step 4: Simplify right side
    144,944x = 94,460,334,336
  5. Step 5: Solve for x
    x = 94,460,334,336/144,944
  6. Step 6: Final answer
    x = 651,702.27

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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.