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Finding the Third Proportional to 144,824 and 307,128

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Solution

The third proportional to 144,824 and 307,128 is: 651,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,824 : 307,128 = 307,128 : x
  2. Step 2: Convert to fraction form
    144,824/307,128 = 307,128/x
  3. Step 3: Cross multiply
    144,824x = 307,128 × 307,128
  4. Step 4: Simplify right side
    144,824x = 94,327,608,384
  5. Step 5: Solve for x
    x = 94,327,608,384/144,824
  6. Step 6: Final answer
    x = 651,325.81

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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.