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Finding the Third Proportional to 118,352 and 254,192

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Solution

The third proportional to 118,352 and 254,192 is: 545,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,352 : 254,192 = 254,192 : x
  2. Step 2: Convert to fraction form
    118,352/254,192 = 254,192/x
  3. Step 3: Cross multiply
    118,352x = 254,192 × 254,192
  4. Step 4: Simplify right side
    118,352x = 64,613,572,864
  5. Step 5: Solve for x
    x = 64,613,572,864/118,352
  6. Step 6: Final answer
    x = 545,944.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.