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Finding the Third Proportional to 147,567 and 326,146.50

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Solution

The third proportional to 147,567 and 326,146.50 is: 720,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,567 : 326,146.50 = 326,146.50 : x
  2. Step 2: Convert to fraction form
    147,567/326,146.50 = 326,146.50/x
  3. Step 3: Cross multiply
    147,567x = 326,146.50 × 326,146.50
  4. Step 4: Simplify right side
    147,567x = 106,371,539,462.25
  5. Step 5: Solve for x
    x = 106,371,539,462.25/147,567
  6. Step 6: Final answer
    x = 720,835.55

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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.