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Finding the Third Proportional to 225,315 and 350,905.50

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Solution

The third proportional to 225,315 and 350,905.50 is: 546,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,315 : 350,905.50 = 350,905.50 : x
  2. Step 2: Convert to fraction form
    225,315/350,905.50 = 350,905.50/x
  3. Step 3: Cross multiply
    225,315x = 350,905.50 × 350,905.50
  4. Step 4: Simplify right side
    225,315x = 123,134,669,930.25
  5. Step 5: Solve for x
    x = 123,134,669,930.25/225,315
  6. Step 6: Final answer
    x = 546,500.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.