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Finding the Third Proportional to 160,929.56 and 243,465.19

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Solution

The third proportional to 160,929.56 and 243,465.19 is: 368,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,929.56 : 243,465.19 = 243,465.19 : x
  2. Step 2: Convert to fraction form
    160,929.56/243,465.19 = 243,465.19/x
  3. Step 3: Cross multiply
    160,929.56x = 243,465.19 × 243,465.19
  4. Step 4: Simplify right side
    160,929.56x = 59,275,297,524.41
  5. Step 5: Solve for x
    x = 59,275,297,524.41/160,929.56
  6. Step 6: Final answer
    x = 368,330.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.