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Finding the Third Proportional to 164,468 and 358,636

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Solution

The third proportional to 164,468 and 358,636 is: 782,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468 : 358,636 = 358,636 : x
  2. Step 2: Convert to fraction form
    164,468/358,636 = 358,636/x
  3. Step 3: Cross multiply
    164,468x = 358,636 × 358,636
  4. Step 4: Simplify right side
    164,468x = 128,619,780,496
  5. Step 5: Solve for x
    x = 128,619,780,496/164,468
  6. Step 6: Final answer
    x = 782,035.29

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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.