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Finding the Third Proportional to 181,467 and 282,042

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Solution

The third proportional to 181,467 and 282,042 is: 438,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 282,042 = 282,042 : x
  2. Step 2: Convert to fraction form
    181,467/282,042 = 282,042/x
  3. Step 3: Cross multiply
    181,467x = 282,042 × 282,042
  4. Step 4: Simplify right side
    181,467x = 79,547,689,764
  5. Step 5: Solve for x
    x = 79,547,689,764/181,467
  6. Step 6: Final answer
    x = 438,358.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.