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Finding the Third Proportional to 231,580 and 351,865.50

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Solution

The third proportional to 231,580 and 351,865.50 is: 534,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,580 : 351,865.50 = 351,865.50 : x
  2. Step 2: Convert to fraction form
    231,580/351,865.50 = 351,865.50/x
  3. Step 3: Cross multiply
    231,580x = 351,865.50 × 351,865.50
  4. Step 4: Simplify right side
    231,580x = 123,809,330,090.25
  5. Step 5: Solve for x
    x = 123,809,330,090.25/231,580
  6. Step 6: Final answer
    x = 534,628.77

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