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Finding the Third Proportional to 174,607.31 and 270,460.69

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Solution

The third proportional to 174,607.31 and 270,460.69 is: 418,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,607.31 : 270,460.69 = 270,460.69 : x
  2. Step 2: Convert to fraction form
    174,607.31/270,460.69 = 270,460.69/x
  3. Step 3: Cross multiply
    174,607.31x = 270,460.69 × 270,460.69
  4. Step 4: Simplify right side
    174,607.31x = 73,148,983,482.97
  5. Step 5: Solve for x
    x = 73,148,983,482.97/174,607.31
  6. Step 6: Final answer
    x = 418,934.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.