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Finding the Third Proportional to 221,938.31 and 314,038.69

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Solution

The third proportional to 221,938.31 and 314,038.69 is: 444,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,938.31 : 314,038.69 = 314,038.69 : x
  2. Step 2: Convert to fraction form
    221,938.31/314,038.69 = 314,038.69/x
  3. Step 3: Cross multiply
    221,938.31x = 314,038.69 × 314,038.69
  4. Step 4: Simplify right side
    221,938.31x = 98,620,297,246.72
  5. Step 5: Solve for x
    x = 98,620,297,246.72/221,938.31
  6. Step 6: Final answer
    x = 444,359.05

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Why These Related Problems?

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