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Finding the Third Proportional to 169,152 and 364,288

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Solution

The third proportional to 169,152 and 364,288 is: 784,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,152 : 364,288 = 364,288 : x
  2. Step 2: Convert to fraction form
    169,152/364,288 = 364,288/x
  3. Step 3: Cross multiply
    169,152x = 364,288 × 364,288
  4. Step 4: Simplify right side
    169,152x = 132,705,746,944
  5. Step 5: Solve for x
    x = 132,705,746,944/169,152
  6. Step 6: Final answer
    x = 784,535.49

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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.