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Finding the Third Proportional to 172,444 and 266,050

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Solution

The third proportional to 172,444 and 266,050 is: 410,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,444 : 266,050 = 266,050 : x
  2. Step 2: Convert to fraction form
    172,444/266,050 = 266,050/x
  3. Step 3: Cross multiply
    172,444x = 266,050 × 266,050
  4. Step 4: Simplify right side
    172,444x = 70,782,602,500
  5. Step 5: Solve for x
    x = 70,782,602,500/172,444
  6. Step 6: Final answer
    x = 410,467.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.