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Finding the Third Proportional to 239,123.25 and 505,237.50

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Solution

The third proportional to 239,123.25 and 505,237.50 is: 1,067,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,123.25 : 505,237.50 = 505,237.50 : x
  2. Step 2: Convert to fraction form
    239,123.25/505,237.50 = 505,237.50/x
  3. Step 3: Cross multiply
    239,123.25x = 505,237.50 × 505,237.50
  4. Step 4: Simplify right side
    239,123.25x = 255,264,931,406.25
  5. Step 5: Solve for x
    x = 255,264,931,406.25/239,123.25
  6. Step 6: Final answer
    x = 1,067,503.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.