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Finding the Third Proportional to 116,223 and 245,502

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Solution

The third proportional to 116,223 and 245,502 is: 518,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,223 : 245,502 = 245,502 : x
  2. Step 2: Convert to fraction form
    116,223/245,502 = 245,502/x
  3. Step 3: Cross multiply
    116,223x = 245,502 × 245,502
  4. Step 4: Simplify right side
    116,223x = 60,271,232,004
  5. Step 5: Solve for x
    x = 60,271,232,004/116,223
  6. Step 6: Final answer
    x = 518,582.66

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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.