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Finding the Third Proportional to 134,825.06 and 292,567.78

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Solution

The third proportional to 134,825.06 and 292,567.78 is: 634,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,825.06 : 292,567.78 = 292,567.78 : x
  2. Step 2: Convert to fraction form
    134,825.06/292,567.78 = 292,567.78/x
  3. Step 3: Cross multiply
    134,825.06x = 292,567.78 × 292,567.78
  4. Step 4: Simplify right side
    134,825.06x = 85,595,906,625.55
  5. Step 5: Solve for x
    x = 85,595,906,625.55/134,825.06
  6. Step 6: Final answer
    x = 634,866.43

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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.