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Finding the Third Proportional to 163,926 and 359,964

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Solution

The third proportional to 163,926 and 359,964 is: 790,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,926 : 359,964 = 359,964 : x
  2. Step 2: Convert to fraction form
    163,926/359,964 = 359,964/x
  3. Step 3: Cross multiply
    163,926x = 359,964 × 359,964
  4. Step 4: Simplify right side
    163,926x = 129,574,081,296
  5. Step 5: Solve for x
    x = 129,574,081,296/163,926
  6. Step 6: Final answer
    x = 790,442.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.