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Finding the Third Proportional to 113,837 and 249,817

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Solution

The third proportional to 113,837 and 249,817 is: 548,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,837 : 249,817 = 249,817 : x
  2. Step 2: Convert to fraction form
    113,837/249,817 = 249,817/x
  3. Step 3: Cross multiply
    113,837x = 249,817 × 249,817
  4. Step 4: Simplify right side
    113,837x = 62,408,533,489
  5. Step 5: Solve for x
    x = 62,408,533,489/113,837
  6. Step 6: Final answer
    x = 548,227.14

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Why These Related Problems?

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