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Finding the Third Proportional to 169,126 and 364,416

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Solution

The third proportional to 169,126 and 364,416 is: 785,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,126 : 364,416 = 364,416 : x
  2. Step 2: Convert to fraction form
    169,126/364,416 = 364,416/x
  3. Step 3: Cross multiply
    169,126x = 364,416 × 364,416
  4. Step 4: Simplify right side
    169,126x = 132,799,021,056
  5. Step 5: Solve for x
    x = 132,799,021,056/169,126
  6. Step 6: Final answer
    x = 785,207.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.