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Finding the Third Proportional to 183,816 and 294,920

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Solution

The third proportional to 183,816 and 294,920 is: 473,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,816 : 294,920 = 294,920 : x
  2. Step 2: Convert to fraction form
    183,816/294,920 = 294,920/x
  3. Step 3: Cross multiply
    183,816x = 294,920 × 294,920
  4. Step 4: Simplify right side
    183,816x = 86,977,806,400
  5. Step 5: Solve for x
    x = 86,977,806,400/183,816
  6. Step 6: Final answer
    x = 473,178.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.