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Finding the Third Proportional to 133,354 and 314,792.50

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Solution

The third proportional to 133,354 and 314,792.50 is: 743,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,354 : 314,792.50 = 314,792.50 : x
  2. Step 2: Convert to fraction form
    133,354/314,792.50 = 314,792.50/x
  3. Step 3: Cross multiply
    133,354x = 314,792.50 × 314,792.50
  4. Step 4: Simplify right side
    133,354x = 99,094,318,056.25
  5. Step 5: Solve for x
    x = 99,094,318,056.25/133,354
  6. Step 6: Final answer
    x = 743,092.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.