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Finding the Third Proportional to 238,302 and 351,907.50

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Solution

The third proportional to 238,302 and 351,907.50 is: 519,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,302 : 351,907.50 = 351,907.50 : x
  2. Step 2: Convert to fraction form
    238,302/351,907.50 = 351,907.50/x
  3. Step 3: Cross multiply
    238,302x = 351,907.50 × 351,907.50
  4. Step 4: Simplify right side
    238,302x = 123,838,888,556.25
  5. Step 5: Solve for x
    x = 123,838,888,556.25/238,302
  6. Step 6: Final answer
    x = 519,672.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.