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Finding the Third Proportional to 184,248 and 390,640

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Solution

The third proportional to 184,248 and 390,640 is: 828,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,248 : 390,640 = 390,640 : x
  2. Step 2: Convert to fraction form
    184,248/390,640 = 390,640/x
  3. Step 3: Cross multiply
    184,248x = 390,640 × 390,640
  4. Step 4: Simplify right side
    184,248x = 152,599,609,600
  5. Step 5: Solve for x
    x = 152,599,609,600/184,248
  6. Step 6: Final answer
    x = 828,229.40

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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.