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Finding the Third Proportional to 141,382 and 304,911

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Solution

The third proportional to 141,382 and 304,911 is: 657,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,382 : 304,911 = 304,911 : x
  2. Step 2: Convert to fraction form
    141,382/304,911 = 304,911/x
  3. Step 3: Cross multiply
    141,382x = 304,911 × 304,911
  4. Step 4: Simplify right side
    141,382x = 92,970,717,921
  5. Step 5: Solve for x
    x = 92,970,717,921/141,382
  6. Step 6: Final answer
    x = 657,585.25

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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.