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Finding the Third Proportional to 214.75 and 469.63

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Solution

The third proportional to 214.75 and 469.63 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 469.63 = 469.63 : x
  2. Step 2: Convert to fraction form
    214.75/469.63 = 469.63/x
  3. Step 3: Cross multiply
    214.75x = 469.63 × 469.63
  4. Step 4: Simplify right side
    214.75x = 220,547.64
  5. Step 5: Solve for x
    x = 220,547.64/214.75
  6. Step 6: Final answer
    x = 1,027.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.