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Finding the Third Proportional to 169,341 and 373,239

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Solution

The third proportional to 169,341 and 373,239 is: 822,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,341 : 373,239 = 373,239 : x
  2. Step 2: Convert to fraction form
    169,341/373,239 = 373,239/x
  3. Step 3: Cross multiply
    169,341x = 373,239 × 373,239
  4. Step 4: Simplify right side
    169,341x = 139,307,351,121
  5. Step 5: Solve for x
    x = 139,307,351,121/169,341
  6. Step 6: Final answer
    x = 822,643.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.