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Finding the Third Proportional to 110,804 and 237,152

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Solution

The third proportional to 110,804 and 237,152 is: 507,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,804 : 237,152 = 237,152 : x
  2. Step 2: Convert to fraction form
    110,804/237,152 = 237,152/x
  3. Step 3: Cross multiply
    110,804x = 237,152 × 237,152
  4. Step 4: Simplify right side
    110,804x = 56,241,071,104
  5. Step 5: Solve for x
    x = 56,241,071,104/110,804
  6. Step 6: Final answer
    x = 507,572.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.