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Finding the Third Proportional to 183,812 and 249,467

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Solution

The third proportional to 183,812 and 249,467 is: 338,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,812 : 249,467 = 249,467 : x
  2. Step 2: Convert to fraction form
    183,812/249,467 = 249,467/x
  3. Step 3: Cross multiply
    183,812x = 249,467 × 249,467
  4. Step 4: Simplify right side
    183,812x = 62,233,784,089
  5. Step 5: Solve for x
    x = 62,233,784,089/183,812
  6. Step 6: Final answer
    x = 338,573.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.