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Finding the Third Proportional to 236,739 and 318,961.50

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Solution

The third proportional to 236,739 and 318,961.50 is: 429,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,739 : 318,961.50 = 318,961.50 : x
  2. Step 2: Convert to fraction form
    236,739/318,961.50 = 318,961.50/x
  3. Step 3: Cross multiply
    236,739x = 318,961.50 × 318,961.50
  4. Step 4: Simplify right side
    236,739x = 101,736,438,482.25
  5. Step 5: Solve for x
    x = 101,736,438,482.25/236,739
  6. Step 6: Final answer
    x = 429,740.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.