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Finding the Third Proportional to 187,029 and 387,362.25

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Solution

The third proportional to 187,029 and 387,362.25 is: 802,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,029 : 387,362.25 = 387,362.25 : x
  2. Step 2: Convert to fraction form
    187,029/387,362.25 = 387,362.25/x
  3. Step 3: Cross multiply
    187,029x = 387,362.25 × 387,362.25
  4. Step 4: Simplify right side
    187,029x = 150,049,512,725.06
  5. Step 5: Solve for x
    x = 150,049,512,725.06/187,029
  6. Step 6: Final answer
    x = 802,279.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.