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Finding the Third Proportional to 230,083 and 492,151

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Solution

The third proportional to 230,083 and 492,151 is: 1,052,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,083 : 492,151 = 492,151 : x
  2. Step 2: Convert to fraction form
    230,083/492,151 = 492,151/x
  3. Step 3: Cross multiply
    230,083x = 492,151 × 492,151
  4. Step 4: Simplify right side
    230,083x = 242,212,606,801
  5. Step 5: Solve for x
    x = 242,212,606,801/230,083
  6. Step 6: Final answer
    x = 1,052,718.40

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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.