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Finding the Third Proportional to 183,554 and 278,823

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Solution

The third proportional to 183,554 and 278,823 is: 423,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,554 : 278,823 = 278,823 : x
  2. Step 2: Convert to fraction form
    183,554/278,823 = 278,823/x
  3. Step 3: Cross multiply
    183,554x = 278,823 × 278,823
  4. Step 4: Simplify right side
    183,554x = 77,742,265,329
  5. Step 5: Solve for x
    x = 77,742,265,329/183,554
  6. Step 6: Final answer
    x = 423,538.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.