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Finding the Third Proportional to 74,482.50 and 175,675.50

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Solution

The third proportional to 74,482.50 and 175,675.50 is: 414,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,482.50 : 175,675.50 = 175,675.50 : x
  2. Step 2: Convert to fraction form
    74,482.50/175,675.50 = 175,675.50/x
  3. Step 3: Cross multiply
    74,482.50x = 175,675.50 × 175,675.50
  4. Step 4: Simplify right side
    74,482.50x = 30,861,881,300.25
  5. Step 5: Solve for x
    x = 30,861,881,300.25/74,482.50
  6. Step 6: Final answer
    x = 414,350.77

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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.