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Finding the Third Proportional to 230,445 and 356,035.50

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Solution

The third proportional to 230,445 and 356,035.50 is: 550,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,445 : 356,035.50 = 356,035.50 : x
  2. Step 2: Convert to fraction form
    230,445/356,035.50 = 356,035.50/x
  3. Step 3: Cross multiply
    230,445x = 356,035.50 × 356,035.50
  4. Step 4: Simplify right side
    230,445x = 126,761,277,260.25
  5. Step 5: Solve for x
    x = 126,761,277,260.25/230,445
  6. Step 6: Final answer
    x = 550,071.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.