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Finding the Third Proportional to 225,276 and 314,950.50

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Solution

The third proportional to 225,276 and 314,950.50 is: 440,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,276 : 314,950.50 = 314,950.50 : x
  2. Step 2: Convert to fraction form
    225,276/314,950.50 = 314,950.50/x
  3. Step 3: Cross multiply
    225,276x = 314,950.50 × 314,950.50
  4. Step 4: Simplify right side
    225,276x = 99,193,817,450.25
  5. Step 5: Solve for x
    x = 99,193,817,450.25/225,276
  6. Step 6: Final answer
    x = 440,321.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.