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Finding the Third Proportional to 214.15 and 465.01

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Solution

The third proportional to 214.15 and 465.01 is: 1,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.15 : 465.01 = 465.01 : x
  2. Step 2: Convert to fraction form
    214.15/465.01 = 465.01/x
  3. Step 3: Cross multiply
    214.15x = 465.01 × 465.01
  4. Step 4: Simplify right side
    214.15x = 216,235.90
  5. Step 5: Solve for x
    x = 216,235.90/214.15
  6. Step 6: Final answer
    x = 1,009.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.