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Finding the Third Proportional to 142,627.50 and 314,733.75

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Solution

The third proportional to 142,627.50 and 314,733.75 is: 694,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,627.50 : 314,733.75 = 314,733.75 : x
  2. Step 2: Convert to fraction form
    142,627.50/314,733.75 = 314,733.75/x
  3. Step 3: Cross multiply
    142,627.50x = 314,733.75 × 314,733.75
  4. Step 4: Simplify right side
    142,627.50x = 99,057,333,389.06
  5. Step 5: Solve for x
    x = 99,057,333,389.06/142,627.50
  6. Step 6: Final answer
    x = 694,517.77

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.