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Finding the Third Proportional to 219,628 and 332,210

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Solution

The third proportional to 219,628 and 332,210 is: 502,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,628 : 332,210 = 332,210 : x
  2. Step 2: Convert to fraction form
    219,628/332,210 = 332,210/x
  3. Step 3: Cross multiply
    219,628x = 332,210 × 332,210
  4. Step 4: Simplify right side
    219,628x = 110,363,484,100
  5. Step 5: Solve for x
    x = 110,363,484,100/219,628
  6. Step 6: Final answer
    x = 502,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.