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Finding the Third Proportional to 147,409.88 and 315,854.44

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Solution

The third proportional to 147,409.88 and 315,854.44 is: 676,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,409.88 : 315,854.44 = 315,854.44 : x
  2. Step 2: Convert to fraction form
    147,409.88/315,854.44 = 315,854.44/x
  3. Step 3: Cross multiply
    147,409.88x = 315,854.44 × 315,854.44
  4. Step 4: Simplify right side
    147,409.88x = 99,764,025,688.44
  5. Step 5: Solve for x
    x = 99,764,025,688.44/147,409.88
  6. Step 6: Final answer
    x = 676,779.80

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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.