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Finding the Third Proportional to 111,580 and 242,848

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Solution

The third proportional to 111,580 and 242,848 is: 528,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,580 : 242,848 = 242,848 : x
  2. Step 2: Convert to fraction form
    111,580/242,848 = 242,848/x
  3. Step 3: Cross multiply
    111,580x = 242,848 × 242,848
  4. Step 4: Simplify right side
    111,580x = 58,975,151,104
  5. Step 5: Solve for x
    x = 58,975,151,104/111,580
  6. Step 6: Final answer
    x = 528,545.90

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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.