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Finding the Third Proportional to 164,467 and 358,633

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Solution

The third proportional to 164,467 and 358,633 is: 782,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467 : 358,633 = 358,633 : x
  2. Step 2: Convert to fraction form
    164,467/358,633 = 358,633/x
  3. Step 3: Cross multiply
    164,467x = 358,633 × 358,633
  4. Step 4: Simplify right side
    164,467x = 128,617,628,689
  5. Step 5: Solve for x
    x = 128,617,628,689/164,467
  6. Step 6: Final answer
    x = 782,026.96

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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.