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Finding the Third Proportional to 91,474 and 197,528

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Solution

The third proportional to 91,474 and 197,528 is: 426,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,474 : 197,528 = 197,528 : x
  2. Step 2: Convert to fraction form
    91,474/197,528 = 197,528/x
  3. Step 3: Cross multiply
    91,474x = 197,528 × 197,528
  4. Step 4: Simplify right side
    91,474x = 39,017,310,784
  5. Step 5: Solve for x
    x = 39,017,310,784/91,474
  6. Step 6: Final answer
    x = 426,539.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.