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Finding the Third Proportional to 197,060 and 432,242

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Solution

The third proportional to 197,060 and 432,242 is: 948,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,060 : 432,242 = 432,242 : x
  2. Step 2: Convert to fraction form
    197,060/432,242 = 432,242/x
  3. Step 3: Cross multiply
    197,060x = 432,242 × 432,242
  4. Step 4: Simplify right side
    197,060x = 186,833,146,564
  5. Step 5: Solve for x
    x = 186,833,146,564/197,060
  6. Step 6: Final answer
    x = 948,102.84

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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.