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Finding the Third Proportional to 184,904 and 399,271.50

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Solution

The third proportional to 184,904 and 399,271.50 is: 862,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,904 : 399,271.50 = 399,271.50 : x
  2. Step 2: Convert to fraction form
    184,904/399,271.50 = 399,271.50/x
  3. Step 3: Cross multiply
    184,904x = 399,271.50 × 399,271.50
  4. Step 4: Simplify right side
    184,904x = 159,417,730,712.25
  5. Step 5: Solve for x
    x = 159,417,730,712.25/184,904
  6. Step 6: Final answer
    x = 862,164.86

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