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Finding the Third Proportional to 164,098 and 358,568

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Solution

The third proportional to 164,098 and 358,568 is: 783,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098 : 358,568 = 358,568 : x
  2. Step 2: Convert to fraction form
    164,098/358,568 = 358,568/x
  3. Step 3: Cross multiply
    164,098x = 358,568 × 358,568
  4. Step 4: Simplify right side
    164,098x = 128,571,010,624
  5. Step 5: Solve for x
    x = 128,571,010,624/164,098
  6. Step 6: Final answer
    x = 783,501.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.