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Finding the Third Proportional to 118,153.50 and 254,859

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Solution

The third proportional to 118,153.50 and 254,859 is: 549,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,153.50 : 254,859 = 254,859 : x
  2. Step 2: Convert to fraction form
    118,153.50/254,859 = 254,859/x
  3. Step 3: Cross multiply
    118,153.50x = 254,859 × 254,859
  4. Step 4: Simplify right side
    118,153.50x = 64,953,109,881
  5. Step 5: Solve for x
    x = 64,953,109,881/118,153.50
  6. Step 6: Final answer
    x = 549,734.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.