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Finding the Third Proportional to 184,253 and 390,648.50

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Solution

The third proportional to 184,253 and 390,648.50 is: 828,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,253 : 390,648.50 = 390,648.50 : x
  2. Step 2: Convert to fraction form
    184,253/390,648.50 = 390,648.50/x
  3. Step 3: Cross multiply
    184,253x = 390,648.50 × 390,648.50
  4. Step 4: Simplify right side
    184,253x = 152,606,250,552.25
  5. Step 5: Solve for x
    x = 152,606,250,552.25/184,253
  6. Step 6: Final answer
    x = 828,242.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.