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Finding the Third Proportional to 214,425.56 and 466,200.98

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Solution

The third proportional to 214,425.56 and 466,200.98 is: 1,013,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,425.56 : 466,200.98 = 466,200.98 : x
  2. Step 2: Convert to fraction form
    214,425.56/466,200.98 = 466,200.98/x
  3. Step 3: Cross multiply
    214,425.56x = 466,200.98 × 466,200.98
  4. Step 4: Simplify right side
    214,425.56x = 217,343,357,832.22
  5. Step 5: Solve for x
    x = 217,343,357,832.22/214,425.56
  6. Step 6: Final answer
    x = 1,013,607.50

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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.