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Finding the Third Proportional to 175,043.50 and 374,994.50

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Solution

The third proportional to 175,043.50 and 374,994.50 is: 803,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,043.50 : 374,994.50 = 374,994.50 : x
  2. Step 2: Convert to fraction form
    175,043.50/374,994.50 = 374,994.50/x
  3. Step 3: Cross multiply
    175,043.50x = 374,994.50 × 374,994.50
  4. Step 4: Simplify right side
    175,043.50x = 140,620,875,030.25
  5. Step 5: Solve for x
    x = 140,620,875,030.25/175,043.50
  6. Step 6: Final answer
    x = 803,348.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.