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Finding the Third Proportional to 183,840 and 294,956

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Solution

The third proportional to 183,840 and 294,956 is: 473,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,840 : 294,956 = 294,956 : x
  2. Step 2: Convert to fraction form
    183,840/294,956 = 294,956/x
  3. Step 3: Cross multiply
    183,840x = 294,956 × 294,956
  4. Step 4: Simplify right side
    183,840x = 86,999,041,936
  5. Step 5: Solve for x
    x = 86,999,041,936/183,840
  6. Step 6: Final answer
    x = 473,232.39

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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.