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Finding the Third Proportional to 197,102.25 and 432,355.50

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Solution

The third proportional to 197,102.25 and 432,355.50 is: 948,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,102.25 : 432,355.50 = 432,355.50 : x
  2. Step 2: Convert to fraction form
    197,102.25/432,355.50 = 432,355.50/x
  3. Step 3: Cross multiply
    197,102.25x = 432,355.50 × 432,355.50
  4. Step 4: Simplify right side
    197,102.25x = 186,931,278,380.25
  5. Step 5: Solve for x
    x = 186,931,278,380.25/197,102.25
  6. Step 6: Final answer
    x = 948,397.49

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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.