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Finding the Third Proportional to 214,580.25 and 466,031.25

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Solution

The third proportional to 214,580.25 and 466,031.25 is: 1,012,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,580.25 : 466,031.25 = 466,031.25 : x
  2. Step 2: Convert to fraction form
    214,580.25/466,031.25 = 466,031.25/x
  3. Step 3: Cross multiply
    214,580.25x = 466,031.25 × 466,031.25
  4. Step 4: Simplify right side
    214,580.25x = 217,185,125,976.56
  5. Step 5: Solve for x
    x = 217,185,125,976.56/214,580.25
  6. Step 6: Final answer
    x = 1,012,139.40

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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.