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Finding the Third Proportional to 164,894 and 353,152

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Solution

The third proportional to 164,894 and 353,152 is: 756,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,894 : 353,152 = 353,152 : x
  2. Step 2: Convert to fraction form
    164,894/353,152 = 353,152/x
  3. Step 3: Cross multiply
    164,894x = 353,152 × 353,152
  4. Step 4: Simplify right side
    164,894x = 124,716,335,104
  5. Step 5: Solve for x
    x = 124,716,335,104/164,894
  6. Step 6: Final answer
    x = 756,342.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.