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Finding the Third Proportional to 118,688 and 184,840

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Solution

The third proportional to 118,688 and 184,840 is: 287,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,688 : 184,840 = 184,840 : x
  2. Step 2: Convert to fraction form
    118,688/184,840 = 184,840/x
  3. Step 3: Cross multiply
    118,688x = 184,840 × 184,840
  4. Step 4: Simplify right side
    118,688x = 34,165,825,600
  5. Step 5: Solve for x
    x = 34,165,825,600/118,688
  6. Step 6: Final answer
    x = 287,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.