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Finding the Third Proportional to 170,169 and 363,783

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Solution

The third proportional to 170,169 and 363,783 is: 777,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,169 : 363,783 = 363,783 : x
  2. Step 2: Convert to fraction form
    170,169/363,783 = 363,783/x
  3. Step 3: Cross multiply
    170,169x = 363,783 × 363,783
  4. Step 4: Simplify right side
    170,169x = 132,338,071,089
  5. Step 5: Solve for x
    x = 132,338,071,089/170,169
  6. Step 6: Final answer
    x = 777,686.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.