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Finding the Third Proportional to 174,956.63 and 368,587.13

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Solution

The third proportional to 174,956.63 and 368,587.13 is: 776,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,956.63 : 368,587.13 = 368,587.13 : x
  2. Step 2: Convert to fraction form
    174,956.63/368,587.13 = 368,587.13/x
  3. Step 3: Cross multiply
    174,956.63x = 368,587.13 × 368,587.13
  4. Step 4: Simplify right side
    174,956.63x = 135,856,468,715.77
  5. Step 5: Solve for x
    x = 135,856,468,715.77/174,956.63
  6. Step 6: Final answer
    x = 776,515.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.