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Finding the Third Proportional to 197,782.50 and 424,167.75

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Solution

The third proportional to 197,782.50 and 424,167.75 is: 909,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,782.50 : 424,167.75 = 424,167.75 : x
  2. Step 2: Convert to fraction form
    197,782.50/424,167.75 = 424,167.75/x
  3. Step 3: Cross multiply
    197,782.50x = 424,167.75 × 424,167.75
  4. Step 4: Simplify right side
    197,782.50x = 179,918,280,140.06
  5. Step 5: Solve for x
    x = 179,918,280,140.06/197,782.50
  6. Step 6: Final answer
    x = 909,677.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.