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Finding the Third Proportional to 109,065 and 235,315

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Solution

The third proportional to 109,065 and 235,315 is: 507,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,065 : 235,315 = 235,315 : x
  2. Step 2: Convert to fraction form
    109,065/235,315 = 235,315/x
  3. Step 3: Cross multiply
    109,065x = 235,315 × 235,315
  4. Step 4: Simplify right side
    109,065x = 55,373,149,225
  5. Step 5: Solve for x
    x = 55,373,149,225/109,065
  6. Step 6: Final answer
    x = 507,707.78

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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.