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Finding the Third Proportional to 184,528.13 and 275,829

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Solution

The third proportional to 184,528.13 and 275,829 is: 412,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,528.13 : 275,829 = 275,829 : x
  2. Step 2: Convert to fraction form
    184,528.13/275,829 = 275,829/x
  3. Step 3: Cross multiply
    184,528.13x = 275,829 × 275,829
  4. Step 4: Simplify right side
    184,528.13x = 76,081,637,241
  5. Step 5: Solve for x
    x = 76,081,637,241/184,528.13
  6. Step 6: Final answer
    x = 412,303.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.