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Finding the Third Proportional to 203,871 and 314,896.50

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Solution

The third proportional to 203,871 and 314,896.50 is: 486,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871 : 314,896.50 = 314,896.50 : x
  2. Step 2: Convert to fraction form
    203,871/314,896.50 = 314,896.50/x
  3. Step 3: Cross multiply
    203,871x = 314,896.50 × 314,896.50
  4. Step 4: Simplify right side
    203,871x = 99,159,805,712.25
  5. Step 5: Solve for x
    x = 99,159,805,712.25/203,871
  6. Step 6: Final answer
    x = 486,385.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.