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Finding the Third Proportional to 118,258 and 254,010

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Solution

The third proportional to 118,258 and 254,010 is: 545,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,258 : 254,010 = 254,010 : x
  2. Step 2: Convert to fraction form
    118,258/254,010 = 254,010/x
  3. Step 3: Cross multiply
    118,258x = 254,010 × 254,010
  4. Step 4: Simplify right side
    118,258x = 64,521,080,100
  5. Step 5: Solve for x
    x = 64,521,080,100/118,258
  6. Step 6: Final answer
    x = 545,595.90

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