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Finding the Third Proportional to 169,575 and 363,735

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Solution

The third proportional to 169,575 and 363,735 is: 780,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,575 : 363,735 = 363,735 : x
  2. Step 2: Convert to fraction form
    169,575/363,735 = 363,735/x
  3. Step 3: Cross multiply
    169,575x = 363,735 × 363,735
  4. Step 4: Simplify right side
    169,575x = 132,303,150,225
  5. Step 5: Solve for x
    x = 132,303,150,225/169,575
  6. Step 6: Final answer
    x = 780,204.34

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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.