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Finding the Third Proportional to 116,448 and 184,688

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Solution

The third proportional to 116,448 and 184,688 is: 292,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,448 : 184,688 = 184,688 : x
  2. Step 2: Convert to fraction form
    116,448/184,688 = 184,688/x
  3. Step 3: Cross multiply
    116,448x = 184,688 × 184,688
  4. Step 4: Simplify right side
    116,448x = 34,109,657,344
  5. Step 5: Solve for x
    x = 34,109,657,344/116,448
  6. Step 6: Final answer
    x = 292,917.50

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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.