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Finding the Third Proportional to 161,623.50 and 255,796.50

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Solution

The third proportional to 161,623.50 and 255,796.50 is: 404,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,623.50 : 255,796.50 = 255,796.50 : x
  2. Step 2: Convert to fraction form
    161,623.50/255,796.50 = 255,796.50/x
  3. Step 3: Cross multiply
    161,623.50x = 255,796.50 × 255,796.50
  4. Step 4: Simplify right side
    161,623.50x = 65,431,849,412.25
  5. Step 5: Solve for x
    x = 65,431,849,412.25/161,623.50
  6. Step 6: Final answer
    x = 404,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.