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Finding the Third Proportional to 113,799 and 249,367

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Solution

The third proportional to 113,799 and 249,367 is: 546,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,799 : 249,367 = 249,367 : x
  2. Step 2: Convert to fraction form
    113,799/249,367 = 249,367/x
  3. Step 3: Cross multiply
    113,799x = 249,367 × 249,367
  4. Step 4: Simplify right side
    113,799x = 62,183,900,689
  5. Step 5: Solve for x
    x = 62,183,900,689/113,799
  6. Step 6: Final answer
    x = 546,436.27

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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.