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Finding the Third Proportional to 113,576 and 247,038

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Solution

The third proportional to 113,576 and 247,038 is: 537,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,576 : 247,038 = 247,038 : x
  2. Step 2: Convert to fraction form
    113,576/247,038 = 247,038/x
  3. Step 3: Cross multiply
    113,576x = 247,038 × 247,038
  4. Step 4: Simplify right side
    113,576x = 61,027,773,444
  5. Step 5: Solve for x
    x = 61,027,773,444/113,576
  6. Step 6: Final answer
    x = 537,329.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.