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Finding the Third Proportional to 183,426 and 276,988.50

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Solution

The third proportional to 183,426 and 276,988.50 is: 418,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,426 : 276,988.50 = 276,988.50 : x
  2. Step 2: Convert to fraction form
    183,426/276,988.50 = 276,988.50/x
  3. Step 3: Cross multiply
    183,426x = 276,988.50 × 276,988.50
  4. Step 4: Simplify right side
    183,426x = 76,722,629,132.25
  5. Step 5: Solve for x
    x = 76,722,629,132.25/183,426
  6. Step 6: Final answer
    x = 418,275.65

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