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Finding the Third Proportional to 117,477 and 229,038

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Solution

The third proportional to 117,477 and 229,038 is: 446,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477 : 229,038 = 229,038 : x
  2. Step 2: Convert to fraction form
    117,477/229,038 = 229,038/x
  3. Step 3: Cross multiply
    117,477x = 229,038 × 229,038
  4. Step 4: Simplify right side
    117,477x = 52,458,405,444
  5. Step 5: Solve for x
    x = 52,458,405,444/117,477
  6. Step 6: Final answer
    x = 446,541.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.