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Finding the Third Proportional to 111,388 and 240,164

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Solution

The third proportional to 111,388 and 240,164 is: 517,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,388 : 240,164 = 240,164 : x
  2. Step 2: Convert to fraction form
    111,388/240,164 = 240,164/x
  3. Step 3: Cross multiply
    111,388x = 240,164 × 240,164
  4. Step 4: Simplify right side
    111,388x = 57,678,746,896
  5. Step 5: Solve for x
    x = 57,678,746,896/111,388
  6. Step 6: Final answer
    x = 517,818.32

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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.