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Finding the Third Proportional to 175,068 and 254,947.50

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Solution

The third proportional to 175,068 and 254,947.50 is: 371,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 254,947.50 = 254,947.50 : x
  2. Step 2: Convert to fraction form
    175,068/254,947.50 = 254,947.50/x
  3. Step 3: Cross multiply
    175,068x = 254,947.50 × 254,947.50
  4. Step 4: Simplify right side
    175,068x = 64,998,227,756.25
  5. Step 5: Solve for x
    x = 64,998,227,756.25/175,068
  6. Step 6: Final answer
    x = 371,274.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.