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Finding the Third Proportional to 132,421.88 and 294,266.06

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Solution

The third proportional to 132,421.88 and 294,266.06 is: 653,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,421.88 : 294,266.06 = 294,266.06 : x
  2. Step 2: Convert to fraction form
    132,421.88/294,266.06 = 294,266.06/x
  3. Step 3: Cross multiply
    132,421.88x = 294,266.06 × 294,266.06
  4. Step 4: Simplify right side
    132,421.88x = 86,592,515,539.25
  5. Step 5: Solve for x
    x = 86,592,515,539.25/132,421.88
  6. Step 6: Final answer
    x = 653,913.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.