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Finding the Third Proportional to 171,424 and 373,312

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Solution

The third proportional to 171,424 and 373,312 is: 812,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,424 : 373,312 = 373,312 : x
  2. Step 2: Convert to fraction form
    171,424/373,312 = 373,312/x
  3. Step 3: Cross multiply
    171,424x = 373,312 × 373,312
  4. Step 4: Simplify right side
    171,424x = 139,361,849,344
  5. Step 5: Solve for x
    x = 139,361,849,344/171,424
  6. Step 6: Final answer
    x = 812,965.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.