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Finding the Third Proportional to 184,534.13 and 301,324.50

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Solution

The third proportional to 184,534.13 and 301,324.50 is: 492,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,534.13 : 301,324.50 = 301,324.50 : x
  2. Step 2: Convert to fraction form
    184,534.13/301,324.50 = 301,324.50/x
  3. Step 3: Cross multiply
    184,534.13x = 301,324.50 × 301,324.50
  4. Step 4: Simplify right side
    184,534.13x = 90,796,454,300.25
  5. Step 5: Solve for x
    x = 90,796,454,300.25/184,534.13
  6. Step 6: Final answer
    x = 492,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.