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Finding the Third Proportional to 164,322 and 264,554

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Solution

The third proportional to 164,322 and 264,554 is: 425,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 264,554 = 264,554 : x
  2. Step 2: Convert to fraction form
    164,322/264,554 = 264,554/x
  3. Step 3: Cross multiply
    164,322x = 264,554 × 264,554
  4. Step 4: Simplify right side
    164,322x = 69,988,818,916
  5. Step 5: Solve for x
    x = 69,988,818,916/164,322
  6. Step 6: Final answer
    x = 425,924.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.