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Finding the Third Proportional to 160,929.19 and 243,464.63

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Solution

The third proportional to 160,929.19 and 243,464.63 is: 368,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,929.19 : 243,464.63 = 243,464.63 : x
  2. Step 2: Convert to fraction form
    160,929.19/243,464.63 = 243,464.63/x
  3. Step 3: Cross multiply
    160,929.19x = 243,464.63 × 243,464.63
  4. Step 4: Simplify right side
    160,929.19x = 59,275,023,626.39
  5. Step 5: Solve for x
    x = 59,275,023,626.39/160,929.19
  6. Step 6: Final answer
    x = 368,329.85

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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.