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Finding the Third Proportional to 230,143 and 492,271

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Solution

The third proportional to 230,143 and 492,271 is: 1,052,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,143 : 492,271 = 492,271 : x
  2. Step 2: Convert to fraction form
    230,143/492,271 = 492,271/x
  3. Step 3: Cross multiply
    230,143x = 492,271 × 492,271
  4. Step 4: Simplify right side
    230,143x = 242,330,737,441
  5. Step 5: Solve for x
    x = 242,330,737,441/230,143
  6. Step 6: Final answer
    x = 1,052,957.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.