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Finding the Third Proportional to 199,567.50 and 428,659.50

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Solution

The third proportional to 199,567.50 and 428,659.50 is: 920,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567.50 : 428,659.50 = 428,659.50 : x
  2. Step 2: Convert to fraction form
    199,567.50/428,659.50 = 428,659.50/x
  3. Step 3: Cross multiply
    199,567.50x = 428,659.50 × 428,659.50
  4. Step 4: Simplify right side
    199,567.50x = 183,748,966,940.25
  5. Step 5: Solve for x
    x = 183,748,966,940.25/199,567.50
  6. Step 6: Final answer
    x = 920,735.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.