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Finding the Third Proportional to 133,259.25 and 287,854.50

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Solution

The third proportional to 133,259.25 and 287,854.50 is: 621,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,259.25 : 287,854.50 = 287,854.50 : x
  2. Step 2: Convert to fraction form
    133,259.25/287,854.50 = 287,854.50/x
  3. Step 3: Cross multiply
    133,259.25x = 287,854.50 × 287,854.50
  4. Step 4: Simplify right side
    133,259.25x = 82,860,213,170.25
  5. Step 5: Solve for x
    x = 82,860,213,170.25/133,259.25
  6. Step 6: Final answer
    x = 621,797.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.