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Finding the Third Proportional to 163,090 and 229,666

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Solution

The third proportional to 163,090 and 229,666 is: 323,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090 : 229,666 = 229,666 : x
  2. Step 2: Convert to fraction form
    163,090/229,666 = 229,666/x
  3. Step 3: Cross multiply
    163,090x = 229,666 × 229,666
  4. Step 4: Simplify right side
    163,090x = 52,746,471,556
  5. Step 5: Solve for x
    x = 52,746,471,556/163,090
  6. Step 6: Final answer
    x = 323,419.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.