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Finding the Third Proportional to 141,409 and 304,958

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Solution

The third proportional to 141,409 and 304,958 is: 657,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409 : 304,958 = 304,958 : x
  2. Step 2: Convert to fraction form
    141,409/304,958 = 304,958/x
  3. Step 3: Cross multiply
    141,409x = 304,958 × 304,958
  4. Step 4: Simplify right side
    141,409x = 92,999,381,764
  5. Step 5: Solve for x
    x = 92,999,381,764/141,409
  6. Step 6: Final answer
    x = 657,662.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.