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Finding the Third Proportional to 224,565.75 and 330,275.81

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Solution

The third proportional to 224,565.75 and 330,275.81 is: 485,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565.75 : 330,275.81 = 330,275.81 : x
  2. Step 2: Convert to fraction form
    224,565.75/330,275.81 = 330,275.81/x
  3. Step 3: Cross multiply
    224,565.75x = 330,275.81 × 330,275.81
  4. Step 4: Simplify right side
    224,565.75x = 109,082,112,322.54
  5. Step 5: Solve for x
    x = 109,082,112,322.54/224,565.75
  6. Step 6: Final answer
    x = 485,746.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.