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Finding the Third Proportional to 210,552 and 314,832

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Solution

The third proportional to 210,552 and 314,832 is: 470,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,552 : 314,832 = 314,832 : x
  2. Step 2: Convert to fraction form
    210,552/314,832 = 314,832/x
  3. Step 3: Cross multiply
    210,552x = 314,832 × 314,832
  4. Step 4: Simplify right side
    210,552x = 99,119,188,224
  5. Step 5: Solve for x
    x = 99,119,188,224/210,552
  6. Step 6: Final answer
    x = 470,758.71

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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.