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Finding the Third Proportional to 176,281.31 and 361,948.50

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Solution

The third proportional to 176,281.31 and 361,948.50 is: 743,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,281.31 : 361,948.50 = 361,948.50 : x
  2. Step 2: Convert to fraction form
    176,281.31/361,948.50 = 361,948.50/x
  3. Step 3: Cross multiply
    176,281.31x = 361,948.50 × 361,948.50
  4. Step 4: Simplify right side
    176,281.31x = 131,006,716,652.25
  5. Step 5: Solve for x
    x = 131,006,716,652.25/176,281.31
  6. Step 6: Final answer
    x = 743,168.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.