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Finding the Third Proportional to 164,275 and 356,433

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Solution

The third proportional to 164,275 and 356,433 is: 773,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,275 : 356,433 = 356,433 : x
  2. Step 2: Convert to fraction form
    164,275/356,433 = 356,433/x
  3. Step 3: Cross multiply
    164,275x = 356,433 × 356,433
  4. Step 4: Simplify right side
    164,275x = 127,044,483,489
  5. Step 5: Solve for x
    x = 127,044,483,489/164,275
  6. Step 6: Final answer
    x = 773,364.68

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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.