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Finding the Third Proportional to 160,929.28 and 243,464.91

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Solution

The third proportional to 160,929.28 and 243,464.91 is: 368,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,929.28 : 243,464.91 = 243,464.91 : x
  2. Step 2: Convert to fraction form
    160,929.28/243,464.91 = 243,464.91/x
  3. Step 3: Cross multiply
    160,929.28x = 243,464.91 × 243,464.91
  4. Step 4: Simplify right side
    160,929.28x = 59,275,160,575.32
  5. Step 5: Solve for x
    x = 59,275,160,575.32/160,929.28
  6. Step 6: Final answer
    x = 368,330.49

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Why These Related Problems?

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