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Finding the Third Proportional to 197,202 and 430,877

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Solution

The third proportional to 197,202 and 430,877 is: 941,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,202 : 430,877 = 430,877 : x
  2. Step 2: Convert to fraction form
    197,202/430,877 = 430,877/x
  3. Step 3: Cross multiply
    197,202x = 430,877 × 430,877
  4. Step 4: Simplify right side
    197,202x = 185,654,989,129
  5. Step 5: Solve for x
    x = 185,654,989,129/197,202
  6. Step 6: Final answer
    x = 941,445.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.