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Finding the Third Proportional to 232,354 and 344,212.50

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Solution

The third proportional to 232,354 and 344,212.50 is: 509,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,354 : 344,212.50 = 344,212.50 : x
  2. Step 2: Convert to fraction form
    232,354/344,212.50 = 344,212.50/x
  3. Step 3: Cross multiply
    232,354x = 344,212.50 × 344,212.50
  4. Step 4: Simplify right side
    232,354x = 118,482,245,156.25
  5. Step 5: Solve for x
    x = 118,482,245,156.25/232,354
  6. Step 6: Final answer
    x = 509,921.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.