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Finding the Third Proportional to 210,826 and 273,591

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Solution

The third proportional to 210,826 and 273,591 is: 355,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826 : 273,591 = 273,591 : x
  2. Step 2: Convert to fraction form
    210,826/273,591 = 273,591/x
  3. Step 3: Cross multiply
    210,826x = 273,591 × 273,591
  4. Step 4: Simplify right side
    210,826x = 74,852,035,281
  5. Step 5: Solve for x
    x = 74,852,035,281/210,826
  6. Step 6: Final answer
    x = 355,041.77

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.