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Finding the Third Proportional to 116,320 and 184,488

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Solution

The third proportional to 116,320 and 184,488 is: 292,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,320 : 184,488 = 184,488 : x
  2. Step 2: Convert to fraction form
    116,320/184,488 = 184,488/x
  3. Step 3: Cross multiply
    116,320x = 184,488 × 184,488
  4. Step 4: Simplify right side
    116,320x = 34,035,822,144
  5. Step 5: Solve for x
    x = 34,035,822,144/116,320
  6. Step 6: Final answer
    x = 292,605.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.