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Finding the Third Proportional to 183,923 and 249,640

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Solution

The third proportional to 183,923 and 249,640 is: 338,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,923 : 249,640 = 249,640 : x
  2. Step 2: Convert to fraction form
    183,923/249,640 = 249,640/x
  3. Step 3: Cross multiply
    183,923x = 249,640 × 249,640
  4. Step 4: Simplify right side
    183,923x = 62,320,129,600
  5. Step 5: Solve for x
    x = 62,320,129,600/183,923
  6. Step 6: Final answer
    x = 338,838.15

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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.