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Finding the Third Proportional to 145,422 and 213,343.88

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Solution

The third proportional to 145,422 and 213,343.88 is: 312,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422 : 213,343.88 = 213,343.88 : x
  2. Step 2: Convert to fraction form
    145,422/213,343.88 = 213,343.88/x
  3. Step 3: Cross multiply
    145,422x = 213,343.88 × 213,343.88
  4. Step 4: Simplify right side
    145,422x = 45,515,609,000.02
  5. Step 5: Solve for x
    x = 45,515,609,000.02/145,422
  6. Step 6: Final answer
    x = 312,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.