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Finding the Third Proportional to 147,886 and 227,316

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Solution

The third proportional to 147,886 and 227,316 is: 349,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,886 : 227,316 = 227,316 : x
  2. Step 2: Convert to fraction form
    147,886/227,316 = 227,316/x
  3. Step 3: Cross multiply
    147,886x = 227,316 × 227,316
  4. Step 4: Simplify right side
    147,886x = 51,672,563,856
  5. Step 5: Solve for x
    x = 51,672,563,856/147,886
  6. Step 6: Final answer
    x = 349,408.08

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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.