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Finding the Third Proportional to 197,420 and 301,038

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Solution

The third proportional to 197,420 and 301,038 is: 459,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,420 : 301,038 = 301,038 : x
  2. Step 2: Convert to fraction form
    197,420/301,038 = 301,038/x
  3. Step 3: Cross multiply
    197,420x = 301,038 × 301,038
  4. Step 4: Simplify right side
    197,420x = 90,623,877,444
  5. Step 5: Solve for x
    x = 90,623,877,444/197,420
  6. Step 6: Final answer
    x = 459,041.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.