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Finding the Third Proportional to 113,846 and 249,834

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Solution

The third proportional to 113,846 and 249,834 is: 548,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,846 : 249,834 = 249,834 : x
  2. Step 2: Convert to fraction form
    113,846/249,834 = 249,834/x
  3. Step 3: Cross multiply
    113,846x = 249,834 × 249,834
  4. Step 4: Simplify right side
    113,846x = 62,417,027,556
  5. Step 5: Solve for x
    x = 62,417,027,556/113,846
  6. Step 6: Final answer
    x = 548,258.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.