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Finding the Third Proportional to 111,500 and 240,490

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Solution

The third proportional to 111,500 and 240,490 is: 518,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,500 : 240,490 = 240,490 : x
  2. Step 2: Convert to fraction form
    111,500/240,490 = 240,490/x
  3. Step 3: Cross multiply
    111,500x = 240,490 × 240,490
  4. Step 4: Simplify right side
    111,500x = 57,835,440,100
  5. Step 5: Solve for x
    x = 57,835,440,100/111,500
  6. Step 6: Final answer
    x = 518,703.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.