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Finding the Third Proportional to 197,498 and 424,967.50

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Solution

The third proportional to 197,498 and 424,967.50 is: 914,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,498 : 424,967.50 = 424,967.50 : x
  2. Step 2: Convert to fraction form
    197,498/424,967.50 = 424,967.50/x
  3. Step 3: Cross multiply
    197,498x = 424,967.50 × 424,967.50
  4. Step 4: Simplify right side
    197,498x = 180,597,376,056.25
  5. Step 5: Solve for x
    x = 180,597,376,056.25/197,498
  6. Step 6: Final answer
    x = 914,426.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.