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Finding the Third Proportional to 233,742 and 343,152

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Solution

The third proportional to 233,742 and 343,152 is: 503,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,742 : 343,152 = 343,152 : x
  2. Step 2: Convert to fraction form
    233,742/343,152 = 343,152/x
  3. Step 3: Cross multiply
    233,742x = 343,152 × 343,152
  4. Step 4: Simplify right side
    233,742x = 117,753,295,104
  5. Step 5: Solve for x
    x = 117,753,295,104/233,742
  6. Step 6: Final answer
    x = 503,774.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.