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Finding the Third Proportional to 135,830.25 and 296,903.25

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Solution

The third proportional to 135,830.25 and 296,903.25 is: 648,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.25 : 296,903.25 = 296,903.25 : x
  2. Step 2: Convert to fraction form
    135,830.25/296,903.25 = 296,903.25/x
  3. Step 3: Cross multiply
    135,830.25x = 296,903.25 × 296,903.25
  4. Step 4: Simplify right side
    135,830.25x = 88,151,539,860.56
  5. Step 5: Solve for x
    x = 88,151,539,860.56/135,830.25
  6. Step 6: Final answer
    x = 648,983.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.