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Finding the Third Proportional to 152,253 and 326,947.50

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Solution

The third proportional to 152,253 and 326,947.50 is: 702,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,253 : 326,947.50 = 326,947.50 : x
  2. Step 2: Convert to fraction form
    152,253/326,947.50 = 326,947.50/x
  3. Step 3: Cross multiply
    152,253x = 326,947.50 × 326,947.50
  4. Step 4: Simplify right side
    152,253x = 106,894,667,756.25
  5. Step 5: Solve for x
    x = 106,894,667,756.25/152,253
  6. Step 6: Final answer
    x = 702,085.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.