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Finding the Third Proportional to 98,374 and 211,082

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Solution

The third proportional to 98,374 and 211,082 is: 452,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,374 : 211,082 = 211,082 : x
  2. Step 2: Convert to fraction form
    98,374/211,082 = 211,082/x
  3. Step 3: Cross multiply
    98,374x = 211,082 × 211,082
  4. Step 4: Simplify right side
    98,374x = 44,555,610,724
  5. Step 5: Solve for x
    x = 44,555,610,724/98,374
  6. Step 6: Final answer
    x = 452,920.60

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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.