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Finding the Third Proportional to 225,065 and 348,380

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Solution

The third proportional to 225,065 and 348,380 is: 539,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,065 : 348,380 = 348,380 : x
  2. Step 2: Convert to fraction form
    225,065/348,380 = 348,380/x
  3. Step 3: Cross multiply
    225,065x = 348,380 × 348,380
  4. Step 4: Simplify right side
    225,065x = 121,368,624,400
  5. Step 5: Solve for x
    x = 121,368,624,400/225,065
  6. Step 6: Final answer
    x = 539,260.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.