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Finding the Third Proportional to 265,023 and 422,119.50

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Solution

The third proportional to 265,023 and 422,119.50 is: 672,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,023 : 422,119.50 = 422,119.50 : x
  2. Step 2: Convert to fraction form
    265,023/422,119.50 = 422,119.50/x
  3. Step 3: Cross multiply
    265,023x = 422,119.50 × 422,119.50
  4. Step 4: Simplify right side
    265,023x = 178,184,872,280.25
  5. Step 5: Solve for x
    x = 178,184,872,280.25/265,023
  6. Step 6: Final answer
    x = 672,337.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.