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Finding the Third Proportional to 164,029 and 358,694

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Solution

The third proportional to 164,029 and 358,694 is: 784,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029 : 358,694 = 358,694 : x
  2. Step 2: Convert to fraction form
    164,029/358,694 = 358,694/x
  3. Step 3: Cross multiply
    164,029x = 358,694 × 358,694
  4. Step 4: Simplify right side
    164,029x = 128,661,385,636
  5. Step 5: Solve for x
    x = 128,661,385,636/164,029
  6. Step 6: Final answer
    x = 784,381.94

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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.