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Finding the Third Proportional to 164,622.38 and 253,773

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Solution

The third proportional to 164,622.38 and 253,773 is: 391,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,622.38 : 253,773 = 253,773 : x
  2. Step 2: Convert to fraction form
    164,622.38/253,773 = 253,773/x
  3. Step 3: Cross multiply
    164,622.38x = 253,773 × 253,773
  4. Step 4: Simplify right side
    164,622.38x = 64,400,735,529
  5. Step 5: Solve for x
    x = 64,400,735,529/164,622.38
  6. Step 6: Final answer
    x = 391,202.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.