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Finding the Third Proportional to 90,034 and 197,348

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Solution

The third proportional to 90,034 and 197,348 is: 432,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,034 : 197,348 = 197,348 : x
  2. Step 2: Convert to fraction form
    90,034/197,348 = 197,348/x
  3. Step 3: Cross multiply
    90,034x = 197,348 × 197,348
  4. Step 4: Simplify right side
    90,034x = 38,946,233,104
  5. Step 5: Solve for x
    x = 38,946,233,104/90,034
  6. Step 6: Final answer
    x = 432,572.51

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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.