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Finding the Third Proportional to 193,567.50 and 424,315.50

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Solution

The third proportional to 193,567.50 and 424,315.50 is: 930,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,567.50 : 424,315.50 = 424,315.50 : x
  2. Step 2: Convert to fraction form
    193,567.50/424,315.50 = 424,315.50/x
  3. Step 3: Cross multiply
    193,567.50x = 424,315.50 × 424,315.50
  4. Step 4: Simplify right side
    193,567.50x = 180,043,643,540.25
  5. Step 5: Solve for x
    x = 180,043,643,540.25/193,567.50
  6. Step 6: Final answer
    x = 930,133.64

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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.