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Finding the Third Proportional to 130,960.13 and 282,787.88

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Solution

The third proportional to 130,960.13 and 282,787.88 is: 610,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960.13 : 282,787.88 = 282,787.88 : x
  2. Step 2: Convert to fraction form
    130,960.13/282,787.88 = 282,787.88/x
  3. Step 3: Cross multiply
    130,960.13x = 282,787.88 × 282,787.88
  4. Step 4: Simplify right side
    130,960.13x = 79,968,982,247.02
  5. Step 5: Solve for x
    x = 79,968,982,247.02/130,960.13
  6. Step 6: Final answer
    x = 610,636.12

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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.