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Finding the Third Proportional to 147,667.50 and 227,253

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Solution

The third proportional to 147,667.50 and 227,253 is: 349,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,667.50 : 227,253 = 227,253 : x
  2. Step 2: Convert to fraction form
    147,667.50/227,253 = 227,253/x
  3. Step 3: Cross multiply
    147,667.50x = 227,253 × 227,253
  4. Step 4: Simplify right side
    147,667.50x = 51,643,926,009
  5. Step 5: Solve for x
    x = 51,643,926,009/147,667.50
  6. Step 6: Final answer
    x = 349,731.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.