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Finding the Third Proportional to 116,210 and 245,476

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Solution

The third proportional to 116,210 and 245,476 is: 518,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,210 : 245,476 = 245,476 : x
  2. Step 2: Convert to fraction form
    116,210/245,476 = 245,476/x
  3. Step 3: Cross multiply
    116,210x = 245,476 × 245,476
  4. Step 4: Simplify right side
    116,210x = 60,258,466,576
  5. Step 5: Solve for x
    x = 60,258,466,576/116,210
  6. Step 6: Final answer
    x = 518,530.82

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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.