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Finding the Third Proportional to 164,718 and 359,643

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Solution

The third proportional to 164,718 and 359,643 is: 785,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,718 : 359,643 = 359,643 : x
  2. Step 2: Convert to fraction form
    164,718/359,643 = 359,643/x
  3. Step 3: Cross multiply
    164,718x = 359,643 × 359,643
  4. Step 4: Simplify right side
    164,718x = 129,343,087,449
  5. Step 5: Solve for x
    x = 129,343,087,449/164,718
  6. Step 6: Final answer
    x = 785,239.55

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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.