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Finding the Third Proportional to 165,298 and 358,064

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Solution

The third proportional to 165,298 and 358,064 is: 775,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,298 : 358,064 = 358,064 : x
  2. Step 2: Convert to fraction form
    165,298/358,064 = 358,064/x
  3. Step 3: Cross multiply
    165,298x = 358,064 × 358,064
  4. Step 4: Simplify right side
    165,298x = 128,209,828,096
  5. Step 5: Solve for x
    x = 128,209,828,096/165,298
  6. Step 6: Final answer
    x = 775,628.43

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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.