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Finding the Third Proportional to 137,745 and 301,896

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Solution

The third proportional to 137,745 and 301,896 is: 661,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745 : 301,896 = 301,896 : x
  2. Step 2: Convert to fraction form
    137,745/301,896 = 301,896/x
  3. Step 3: Cross multiply
    137,745x = 301,896 × 301,896
  4. Step 4: Simplify right side
    137,745x = 91,141,194,816
  5. Step 5: Solve for x
    x = 91,141,194,816/137,745
  6. Step 6: Final answer
    x = 661,666.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.