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Finding the Third Proportional to 209,808 and 332,730

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Solution

The third proportional to 209,808 and 332,730 is: 527,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,808 : 332,730 = 332,730 : x
  2. Step 2: Convert to fraction form
    209,808/332,730 = 332,730/x
  3. Step 3: Cross multiply
    209,808x = 332,730 × 332,730
  4. Step 4: Simplify right side
    209,808x = 110,709,252,900
  5. Step 5: Solve for x
    x = 110,709,252,900/209,808
  6. Step 6: Final answer
    x = 527,669.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.