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Finding the Third Proportional to 259,745 and 351,985.50

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Solution

The third proportional to 259,745 and 351,985.50 is: 476,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,745 : 351,985.50 = 351,985.50 : x
  2. Step 2: Convert to fraction form
    259,745/351,985.50 = 351,985.50/x
  3. Step 3: Cross multiply
    259,745x = 351,985.50 × 351,985.50
  4. Step 4: Simplify right side
    259,745x = 123,893,792,210.25
  5. Step 5: Solve for x
    x = 123,893,792,210.25/259,745
  6. Step 6: Final answer
    x = 476,982.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.