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Finding the Third Proportional to 164,027 and 358,690

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Solution

The third proportional to 164,027 and 358,690 is: 784,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027 : 358,690 = 358,690 : x
  2. Step 2: Convert to fraction form
    164,027/358,690 = 358,690/x
  3. Step 3: Cross multiply
    164,027x = 358,690 × 358,690
  4. Step 4: Simplify right side
    164,027x = 128,658,516,100
  5. Step 5: Solve for x
    x = 128,658,516,100/164,027
  6. Step 6: Final answer
    x = 784,374.01

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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.