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Finding the Third Proportional to 164,730 and 359,668

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Solution

The third proportional to 164,730 and 359,668 is: 785,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,730 : 359,668 = 359,668 : x
  2. Step 2: Convert to fraction form
    164,730/359,668 = 359,668/x
  3. Step 3: Cross multiply
    164,730x = 359,668 × 359,668
  4. Step 4: Simplify right side
    164,730x = 129,361,070,224
  5. Step 5: Solve for x
    x = 129,361,070,224/164,730
  6. Step 6: Final answer
    x = 785,291.51

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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.