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Finding the Third Proportional to 156,097.13 and 368,372.81

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Solution

The third proportional to 156,097.13 and 368,372.81 is: 869,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,097.13 : 368,372.81 = 368,372.81 : x
  2. Step 2: Convert to fraction form
    156,097.13/368,372.81 = 368,372.81/x
  3. Step 3: Cross multiply
    156,097.13x = 368,372.81 × 368,372.81
  4. Step 4: Simplify right side
    156,097.13x = 135,698,528,989.16
  5. Step 5: Solve for x
    x = 135,698,528,989.16/156,097.13
  6. Step 6: Final answer
    x = 869,321.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.