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Finding the Third Proportional to 233,455 and 352,325.50

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Solution

The third proportional to 233,455 and 352,325.50 is: 531,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,455 : 352,325.50 = 352,325.50 : x
  2. Step 2: Convert to fraction form
    233,455/352,325.50 = 352,325.50/x
  3. Step 3: Cross multiply
    233,455x = 352,325.50 × 352,325.50
  4. Step 4: Simplify right side
    233,455x = 124,133,257,950.25
  5. Step 5: Solve for x
    x = 124,133,257,950.25/233,455
  6. Step 6: Final answer
    x = 531,722.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.