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Finding the Third Proportional to 135,216 and 210,465

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Solution

The third proportional to 135,216 and 210,465 is: 327,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 210,465 = 210,465 : x
  2. Step 2: Convert to fraction form
    135,216/210,465 = 210,465/x
  3. Step 3: Cross multiply
    135,216x = 210,465 × 210,465
  4. Step 4: Simplify right side
    135,216x = 44,295,516,225
  5. Step 5: Solve for x
    x = 44,295,516,225/135,216
  6. Step 6: Final answer
    x = 327,590.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.