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Finding the Third Proportional to 153,256 and 230,091

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Solution

The third proportional to 153,256 and 230,091 is: 345,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,256 : 230,091 = 230,091 : x
  2. Step 2: Convert to fraction form
    153,256/230,091 = 230,091/x
  3. Step 3: Cross multiply
    153,256x = 230,091 × 230,091
  4. Step 4: Simplify right side
    153,256x = 52,941,868,281
  5. Step 5: Solve for x
    x = 52,941,868,281/153,256
  6. Step 6: Final answer
    x = 345,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.