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Finding the Third Proportional to 154,952 and 335,986

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Solution

The third proportional to 154,952 and 335,986 is: 728,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,952 : 335,986 = 335,986 : x
  2. Step 2: Convert to fraction form
    154,952/335,986 = 335,986/x
  3. Step 3: Cross multiply
    154,952x = 335,986 × 335,986
  4. Step 4: Simplify right side
    154,952x = 112,886,592,196
  5. Step 5: Solve for x
    x = 112,886,592,196/154,952
  6. Step 6: Final answer
    x = 728,526.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.