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Finding the Third Proportional to 131,258.81 and 283,532.91

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Solution

The third proportional to 131,258.81 and 283,532.91 is: 612,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258.81 : 283,532.91 = 283,532.91 : x
  2. Step 2: Convert to fraction form
    131,258.81/283,532.91 = 283,532.91/x
  3. Step 3: Cross multiply
    131,258.81x = 283,532.91 × 283,532.91
  4. Step 4: Simplify right side
    131,258.81x = 80,390,908,926.57
  5. Step 5: Solve for x
    x = 80,390,908,926.57/131,258.81
  6. Step 6: Final answer
    x = 612,461.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.