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Finding the Third Proportional to 98,760 and 212,506

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Solution

The third proportional to 98,760 and 212,506 is: 457,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,760 : 212,506 = 212,506 : x
  2. Step 2: Convert to fraction form
    98,760/212,506 = 212,506/x
  3. Step 3: Cross multiply
    98,760x = 212,506 × 212,506
  4. Step 4: Simplify right side
    98,760x = 45,158,800,036
  5. Step 5: Solve for x
    x = 45,158,800,036/98,760
  6. Step 6: Final answer
    x = 457,258.00

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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.