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Finding the Third Proportional to 113,869 and 249,914

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Solution

The third proportional to 113,869 and 249,914 is: 548,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,869 : 249,914 = 249,914 : x
  2. Step 2: Convert to fraction form
    113,869/249,914 = 249,914/x
  3. Step 3: Cross multiply
    113,869x = 249,914 × 249,914
  4. Step 4: Simplify right side
    113,869x = 62,457,007,396
  5. Step 5: Solve for x
    x = 62,457,007,396/113,869
  6. Step 6: Final answer
    x = 548,498.78

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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.