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Finding the Third Proportional to 164,046 and 356,550

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Solution

The third proportional to 164,046 and 356,550 is: 774,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046 : 356,550 = 356,550 : x
  2. Step 2: Convert to fraction form
    164,046/356,550 = 356,550/x
  3. Step 3: Cross multiply
    164,046x = 356,550 × 356,550
  4. Step 4: Simplify right side
    164,046x = 127,127,902,500
  5. Step 5: Solve for x
    x = 127,127,902,500/164,046
  6. Step 6: Final answer
    x = 774,952.77

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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.