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Finding the Third Proportional to 197,700 and 433,038

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Solution

The third proportional to 197,700 and 433,038 is: 948,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,700 : 433,038 = 433,038 : x
  2. Step 2: Convert to fraction form
    197,700/433,038 = 433,038/x
  3. Step 3: Cross multiply
    197,700x = 433,038 × 433,038
  4. Step 4: Simplify right side
    197,700x = 187,521,909,444
  5. Step 5: Solve for x
    x = 187,521,909,444/197,700
  6. Step 6: Final answer
    x = 948,517.50

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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.