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Finding the Third Proportional to 219,384 and 331,776

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Solution

The third proportional to 219,384 and 331,776 is: 501,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,384 : 331,776 = 331,776 : x
  2. Step 2: Convert to fraction form
    219,384/331,776 = 331,776/x
  3. Step 3: Cross multiply
    219,384x = 331,776 × 331,776
  4. Step 4: Simplify right side
    219,384x = 110,075,314,176
  5. Step 5: Solve for x
    x = 110,075,314,176/219,384
  6. Step 6: Final answer
    x = 501,747.23

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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.