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Finding the Third Proportional to 151,485 and 230,374.50

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Solution

The third proportional to 151,485 and 230,374.50 is: 350,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,485 : 230,374.50 = 230,374.50 : x
  2. Step 2: Convert to fraction form
    151,485/230,374.50 = 230,374.50/x
  3. Step 3: Cross multiply
    151,485x = 230,374.50 × 230,374.50
  4. Step 4: Simplify right side
    151,485x = 53,072,410,250.25
  5. Step 5: Solve for x
    x = 53,072,410,250.25/151,485
  6. Step 6: Final answer
    x = 350,347.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.