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Finding the Third Proportional to 164,056 and 234,598

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Solution

The third proportional to 164,056 and 234,598 is: 335,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,056 : 234,598 = 234,598 : x
  2. Step 2: Convert to fraction form
    164,056/234,598 = 234,598/x
  3. Step 3: Cross multiply
    164,056x = 234,598 × 234,598
  4. Step 4: Simplify right side
    164,056x = 55,036,221,604
  5. Step 5: Solve for x
    x = 55,036,221,604/164,056
  6. Step 6: Final answer
    x = 335,472.17

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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.