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Finding the Third Proportional to 163,353 and 346,533

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Solution

The third proportional to 163,353 and 346,533 is: 735,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,353 : 346,533 = 346,533 : x
  2. Step 2: Convert to fraction form
    163,353/346,533 = 346,533/x
  3. Step 3: Cross multiply
    163,353x = 346,533 × 346,533
  4. Step 4: Simplify right side
    163,353x = 120,085,120,089
  5. Step 5: Solve for x
    x = 120,085,120,089/163,353
  6. Step 6: Final answer
    x = 735,126.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.