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Finding the Third Proportional to 184,255 and 390,652.50

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Solution

The third proportional to 184,255 and 390,652.50 is: 828,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,255 : 390,652.50 = 390,652.50 : x
  2. Step 2: Convert to fraction form
    184,255/390,652.50 = 390,652.50/x
  3. Step 3: Cross multiply
    184,255x = 390,652.50 × 390,652.50
  4. Step 4: Simplify right side
    184,255x = 152,609,375,756.25
  5. Step 5: Solve for x
    x = 152,609,375,756.25/184,255
  6. Step 6: Final answer
    x = 828,250.93

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Why These Related Problems?

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