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Finding the Third Proportional to 164,075 and 358,517

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Solution

The third proportional to 164,075 and 358,517 is: 783,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075 : 358,517 = 358,517 : x
  2. Step 2: Convert to fraction form
    164,075/358,517 = 358,517/x
  3. Step 3: Cross multiply
    164,075x = 358,517 × 358,517
  4. Step 4: Simplify right side
    164,075x = 128,534,439,289
  5. Step 5: Solve for x
    x = 128,534,439,289/164,075
  6. Step 6: Final answer
    x = 783,388.32

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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.