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Finding the Third Proportional to 164,478 and 358,704

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Solution

The third proportional to 164,478 and 358,704 is: 782,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,478 : 358,704 = 358,704 : x
  2. Step 2: Convert to fraction form
    164,478/358,704 = 358,704/x
  3. Step 3: Cross multiply
    164,478x = 358,704 × 358,704
  4. Step 4: Simplify right side
    164,478x = 128,668,559,616
  5. Step 5: Solve for x
    x = 128,668,559,616/164,478
  6. Step 6: Final answer
    x = 782,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.