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Finding the Third Proportional to 196,567 and 294,541

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Solution

The third proportional to 196,567 and 294,541 is: 441,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,567 : 294,541 = 294,541 : x
  2. Step 2: Convert to fraction form
    196,567/294,541 = 294,541/x
  3. Step 3: Cross multiply
    196,567x = 294,541 × 294,541
  4. Step 4: Simplify right side
    196,567x = 86,754,400,681
  5. Step 5: Solve for x
    x = 86,754,400,681/196,567
  6. Step 6: Final answer
    x = 441,347.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.