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Finding the Third Proportional to 183,738.38 and 249,358.50

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Solution

The third proportional to 183,738.38 and 249,358.50 is: 338,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,738.38 : 249,358.50 = 249,358.50 : x
  2. Step 2: Convert to fraction form
    183,738.38/249,358.50 = 249,358.50/x
  3. Step 3: Cross multiply
    183,738.38x = 249,358.50 × 249,358.50
  4. Step 4: Simplify right side
    183,738.38x = 62,179,661,522.25
  5. Step 5: Solve for x
    x = 62,179,661,522.25/183,738.38
  6. Step 6: Final answer
    x = 338,414.13

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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.