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Finding the Third Proportional to 134,464.50 and 286,593

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Solution

The third proportional to 134,464.50 and 286,593 is: 610,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464.50 : 286,593 = 286,593 : x
  2. Step 2: Convert to fraction form
    134,464.50/286,593 = 286,593/x
  3. Step 3: Cross multiply
    134,464.50x = 286,593 × 286,593
  4. Step 4: Simplify right side
    134,464.50x = 82,135,547,649
  5. Step 5: Solve for x
    x = 82,135,547,649/134,464.50
  6. Step 6: Final answer
    x = 610,834.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.