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Finding the Third Proportional to 184,251 and 390,644.25

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Solution

The third proportional to 184,251 and 390,644.25 is: 828,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,251 : 390,644.25 = 390,644.25 : x
  2. Step 2: Convert to fraction form
    184,251/390,644.25 = 390,644.25/x
  3. Step 3: Cross multiply
    184,251x = 390,644.25 × 390,644.25
  4. Step 4: Simplify right side
    184,251x = 152,602,930,058.06
  5. Step 5: Solve for x
    x = 152,602,930,058.06/184,251
  6. Step 6: Final answer
    x = 828,233.93

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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.