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Finding the Third Proportional to 197,448.75 and 465,637.50

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Solution

The third proportional to 197,448.75 and 465,637.50 is: 1,098,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,448.75 : 465,637.50 = 465,637.50 : x
  2. Step 2: Convert to fraction form
    197,448.75/465,637.50 = 465,637.50/x
  3. Step 3: Cross multiply
    197,448.75x = 465,637.50 × 465,637.50
  4. Step 4: Simplify right side
    197,448.75x = 216,818,281,406.25
  5. Step 5: Solve for x
    x = 216,818,281,406.25/197,448.75
  6. Step 6: Final answer
    x = 1,098,099.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.