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Finding the Third Proportional to 169,575 and 368,310

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Solution

The third proportional to 169,575 and 368,310 is: 799,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,575 : 368,310 = 368,310 : x
  2. Step 2: Convert to fraction form
    169,575/368,310 = 368,310/x
  3. Step 3: Cross multiply
    169,575x = 368,310 × 368,310
  4. Step 4: Simplify right side
    169,575x = 135,652,256,100
  5. Step 5: Solve for x
    x = 135,652,256,100/169,575
  6. Step 6: Final answer
    x = 799,954.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.