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Finding the Third Proportional to 120,506 and 183,904

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Solution

The third proportional to 120,506 and 183,904 is: 280,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,506 : 183,904 = 183,904 : x
  2. Step 2: Convert to fraction form
    120,506/183,904 = 183,904/x
  3. Step 3: Cross multiply
    120,506x = 183,904 × 183,904
  4. Step 4: Simplify right side
    120,506x = 33,820,681,216
  5. Step 5: Solve for x
    x = 33,820,681,216/120,506
  6. Step 6: Final answer
    x = 280,655.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.