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Finding the Third Proportional to 184,545 and 301,340.25

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Solution

The third proportional to 184,545 and 301,340.25 is: 492,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,545 : 301,340.25 = 301,340.25 : x
  2. Step 2: Convert to fraction form
    184,545/301,340.25 = 301,340.25/x
  3. Step 3: Cross multiply
    184,545x = 301,340.25 × 301,340.25
  4. Step 4: Simplify right side
    184,545x = 90,805,946,270.06
  5. Step 5: Solve for x
    x = 90,805,946,270.06/184,545
  6. Step 6: Final answer
    x = 492,053.14

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