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Finding the Third Proportional to 183,768 and 400,352

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Solution

The third proportional to 183,768 and 400,352 is: 872,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,768 : 400,352 = 400,352 : x
  2. Step 2: Convert to fraction form
    183,768/400,352 = 400,352/x
  3. Step 3: Cross multiply
    183,768x = 400,352 × 400,352
  4. Step 4: Simplify right side
    183,768x = 160,281,723,904
  5. Step 5: Solve for x
    x = 160,281,723,904/183,768
  6. Step 6: Final answer
    x = 872,196.05

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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.