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Finding the Third Proportional to 164,054 and 356,566

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Solution

The third proportional to 164,054 and 356,566 is: 774,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,054 : 356,566 = 356,566 : x
  2. Step 2: Convert to fraction form
    164,054/356,566 = 356,566/x
  3. Step 3: Cross multiply
    164,054x = 356,566 × 356,566
  4. Step 4: Simplify right side
    164,054x = 127,139,312,356
  5. Step 5: Solve for x
    x = 127,139,312,356/164,054
  6. Step 6: Final answer
    x = 774,984.53

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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.