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Finding the Third Proportional to 252,551.25 and 392,106.94

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Solution

The third proportional to 252,551.25 and 392,106.94 is: 608,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,551.25 : 392,106.94 = 392,106.94 : x
  2. Step 2: Convert to fraction form
    252,551.25/392,106.94 = 392,106.94/x
  3. Step 3: Cross multiply
    252,551.25x = 392,106.94 × 392,106.94
  4. Step 4: Simplify right side
    252,551.25x = 153,747,850,435.63
  5. Step 5: Solve for x
    x = 153,747,850,435.63/252,551.25
  6. Step 6: Final answer
    x = 608,778.81

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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.