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Finding the Third Proportional to 184,473 and 282,062.25

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Solution

The third proportional to 184,473 and 282,062.25 is: 431,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,473 : 282,062.25 = 282,062.25 : x
  2. Step 2: Convert to fraction form
    184,473/282,062.25 = 282,062.25/x
  3. Step 3: Cross multiply
    184,473x = 282,062.25 × 282,062.25
  4. Step 4: Simplify right side
    184,473x = 79,559,112,875.06
  5. Step 5: Solve for x
    x = 79,559,112,875.06/184,473
  6. Step 6: Final answer
    x = 431,277.82

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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.