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Finding the Third Proportional to 164,049 and 234,590

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Solution

The third proportional to 164,049 and 234,590 is: 335,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049 : 234,590 = 234,590 : x
  2. Step 2: Convert to fraction form
    164,049/234,590 = 234,590/x
  3. Step 3: Cross multiply
    164,049x = 234,590 × 234,590
  4. Step 4: Simplify right side
    164,049x = 55,032,468,100
  5. Step 5: Solve for x
    x = 55,032,468,100/164,049
  6. Step 6: Final answer
    x = 335,463.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.