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Finding the Third Proportional to 164,203.50 and 253,555.50

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Solution

The third proportional to 164,203.50 and 253,555.50 is: 391,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,203.50 : 253,555.50 = 253,555.50 : x
  2. Step 2: Convert to fraction form
    164,203.50/253,555.50 = 253,555.50/x
  3. Step 3: Cross multiply
    164,203.50x = 253,555.50 × 253,555.50
  4. Step 4: Simplify right side
    164,203.50x = 64,290,391,580.25
  5. Step 5: Solve for x
    x = 64,290,391,580.25/164,203.50
  6. Step 6: Final answer
    x = 391,528.75

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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.