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Finding the Third Proportional to 111,010 and 242,320

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Solution

The third proportional to 111,010 and 242,320 is: 528,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,010 : 242,320 = 242,320 : x
  2. Step 2: Convert to fraction form
    111,010/242,320 = 242,320/x
  3. Step 3: Cross multiply
    111,010x = 242,320 × 242,320
  4. Step 4: Simplify right side
    111,010x = 58,718,982,400
  5. Step 5: Solve for x
    x = 58,718,982,400/111,010
  6. Step 6: Final answer
    x = 528,952.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.