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Finding the Third Proportional to 221,184 and 331,776

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Solution

The third proportional to 221,184 and 331,776 is: 497,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,184 : 331,776 = 331,776 : x
  2. Step 2: Convert to fraction form
    221,184/331,776 = 331,776/x
  3. Step 3: Cross multiply
    221,184x = 331,776 × 331,776
  4. Step 4: Simplify right side
    221,184x = 110,075,314,176
  5. Step 5: Solve for x
    x = 110,075,314,176/221,184
  6. Step 6: Final answer
    x = 497,664

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.