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Finding the Third Proportional to 183,987 and 429,955.50

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Solution

The third proportional to 183,987 and 429,955.50 is: 1,004,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,987 : 429,955.50 = 429,955.50 : x
  2. Step 2: Convert to fraction form
    183,987/429,955.50 = 429,955.50/x
  3. Step 3: Cross multiply
    183,987x = 429,955.50 × 429,955.50
  4. Step 4: Simplify right side
    183,987x = 184,861,731,980.25
  5. Step 5: Solve for x
    x = 184,861,731,980.25/183,987
  6. Step 6: Final answer
    x = 1,004,754.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.