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Finding the Third Proportional to 235,718 and 357,001

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Solution

The third proportional to 235,718 and 357,001 is: 540,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,718 : 357,001 = 357,001 : x
  2. Step 2: Convert to fraction form
    235,718/357,001 = 357,001/x
  3. Step 3: Cross multiply
    235,718x = 357,001 × 357,001
  4. Step 4: Simplify right side
    235,718x = 127,449,714,001
  5. Step 5: Solve for x
    x = 127,449,714,001/235,718
  6. Step 6: Final answer
    x = 540,687.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.