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Finding the Third Proportional to 118,460 and 255,887

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Solution

The third proportional to 118,460 and 255,887 is: 552,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,460 : 255,887 = 255,887 : x
  2. Step 2: Convert to fraction form
    118,460/255,887 = 255,887/x
  3. Step 3: Cross multiply
    118,460x = 255,887 × 255,887
  4. Step 4: Simplify right side
    118,460x = 65,478,156,769
  5. Step 5: Solve for x
    x = 65,478,156,769/118,460
  6. Step 6: Final answer
    x = 552,744.87

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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.