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Finding the Third Proportional to 164,020 and 358,676

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Solution

The third proportional to 164,020 and 358,676 is: 784,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 358,676 = 358,676 : x
  2. Step 2: Convert to fraction form
    164,020/358,676 = 358,676/x
  3. Step 3: Cross multiply
    164,020x = 358,676 × 358,676
  4. Step 4: Simplify right side
    164,020x = 128,648,472,976
  5. Step 5: Solve for x
    x = 128,648,472,976/164,020
  6. Step 6: Final answer
    x = 784,346.26

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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.