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Finding the Third Proportional to 130,960 and 285,913

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Solution

The third proportional to 130,960 and 285,913 is: 624,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960 : 285,913 = 285,913 : x
  2. Step 2: Convert to fraction form
    130,960/285,913 = 285,913/x
  3. Step 3: Cross multiply
    130,960x = 285,913 × 285,913
  4. Step 4: Simplify right side
    130,960x = 81,746,243,569
  5. Step 5: Solve for x
    x = 81,746,243,569/130,960
  6. Step 6: Final answer
    x = 624,207.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.