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Finding the Third Proportional to 184,231.13 and 390,607.31

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Solution

The third proportional to 184,231.13 and 390,607.31 is: 828,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,231.13 : 390,607.31 = 390,607.31 : x
  2. Step 2: Convert to fraction form
    184,231.13/390,607.31 = 390,607.31/x
  3. Step 3: Cross multiply
    184,231.13x = 390,607.31 × 390,607.31
  4. Step 4: Simplify right side
    184,231.13x = 152,574,072,578.47
  5. Step 5: Solve for x
    x = 152,574,072,578.47/184,231.13
  6. Step 6: Final answer
    x = 828,166.64

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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.