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Finding the Third Proportional to 225,013.50 and 316,509.50

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Solution

The third proportional to 225,013.50 and 316,509.50 is: 445,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,013.50 : 316,509.50 = 316,509.50 : x
  2. Step 2: Convert to fraction form
    225,013.50/316,509.50 = 316,509.50/x
  3. Step 3: Cross multiply
    225,013.50x = 316,509.50 × 316,509.50
  4. Step 4: Simplify right side
    225,013.50x = 100,178,263,590.25
  5. Step 5: Solve for x
    x = 100,178,263,590.25/225,013.50
  6. Step 6: Final answer
    x = 445,210.01

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.