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Finding the Third Proportional to 109,440 and 235,610

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Solution

The third proportional to 109,440 and 235,610 is: 507,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440 : 235,610 = 235,610 : x
  2. Step 2: Convert to fraction form
    109,440/235,610 = 235,610/x
  3. Step 3: Cross multiply
    109,440x = 235,610 × 235,610
  4. Step 4: Simplify right side
    109,440x = 55,512,072,100
  5. Step 5: Solve for x
    x = 55,512,072,100/109,440
  6. Step 6: Final answer
    x = 507,237.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.