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Finding the Third Proportional to 164,034 and 356,526

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Solution

The third proportional to 164,034 and 356,526 is: 774,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034 : 356,526 = 356,526 : x
  2. Step 2: Convert to fraction form
    164,034/356,526 = 356,526/x
  3. Step 3: Cross multiply
    164,034x = 356,526 × 356,526
  4. Step 4: Simplify right side
    164,034x = 127,110,788,676
  5. Step 5: Solve for x
    x = 127,110,788,676/164,034
  6. Step 6: Final answer
    x = 774,905.13

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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.