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Finding the Third Proportional to 210,270 and 332,913

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Solution

The third proportional to 210,270 and 332,913 is: 527,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,270 : 332,913 = 332,913 : x
  2. Step 2: Convert to fraction form
    210,270/332,913 = 332,913/x
  3. Step 3: Cross multiply
    210,270x = 332,913 × 332,913
  4. Step 4: Simplify right side
    210,270x = 110,831,065,569
  5. Step 5: Solve for x
    x = 110,831,065,569/210,270
  6. Step 6: Final answer
    x = 527,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.