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Finding the Third Proportional to 233,914.50 and 505,118

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Solution

The third proportional to 233,914.50 and 505,118 is: 1,090,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,914.50 : 505,118 = 505,118 : x
  2. Step 2: Convert to fraction form
    233,914.50/505,118 = 505,118/x
  3. Step 3: Cross multiply
    233,914.50x = 505,118 × 505,118
  4. Step 4: Simplify right side
    233,914.50x = 255,144,193,924
  5. Step 5: Solve for x
    x = 255,144,193,924/233,914.50
  6. Step 6: Final answer
    x = 1,090,758.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.