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Finding the Third Proportional to 134,468.46 and 292,594.54

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Solution

The third proportional to 134,468.46 and 292,594.54 is: 636,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,468.46 : 292,594.54 = 292,594.54 : x
  2. Step 2: Convert to fraction form
    134,468.46/292,594.54 = 292,594.54/x
  3. Step 3: Cross multiply
    134,468.46x = 292,594.54 × 292,594.54
  4. Step 4: Simplify right side
    134,468.46x = 85,611,567,146.57
  5. Step 5: Solve for x
    x = 85,611,567,146.57/134,468.46
  6. Step 6: Final answer
    x = 636,666.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.