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Finding the Third Proportional to 90,273 and 190,428

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Solution

The third proportional to 90,273 and 190,428 is: 401,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,273 : 190,428 = 190,428 : x
  2. Step 2: Convert to fraction form
    90,273/190,428 = 190,428/x
  3. Step 3: Cross multiply
    90,273x = 190,428 × 190,428
  4. Step 4: Simplify right side
    90,273x = 36,262,823,184
  5. Step 5: Solve for x
    x = 36,262,823,184/90,273
  6. Step 6: Final answer
    x = 401,701.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.