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Finding the Third Proportional to 134,030 and 207,614

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Solution

The third proportional to 134,030 and 207,614 is: 321,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,030 : 207,614 = 207,614 : x
  2. Step 2: Convert to fraction form
    134,030/207,614 = 207,614/x
  3. Step 3: Cross multiply
    134,030x = 207,614 × 207,614
  4. Step 4: Simplify right side
    134,030x = 43,103,572,996
  5. Step 5: Solve for x
    x = 43,103,572,996/134,030
  6. Step 6: Final answer
    x = 321,596.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.