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Finding the Third Proportional to 152,994 and 220,354

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Solution

The third proportional to 152,994 and 220,354 is: 317,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,994 : 220,354 = 220,354 : x
  2. Step 2: Convert to fraction form
    152,994/220,354 = 220,354/x
  3. Step 3: Cross multiply
    152,994x = 220,354 × 220,354
  4. Step 4: Simplify right side
    152,994x = 48,555,885,316
  5. Step 5: Solve for x
    x = 48,555,885,316/152,994
  6. Step 6: Final answer
    x = 317,371.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.