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Finding the Third Proportional to 141,084 and 301,392

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Solution

The third proportional to 141,084 and 301,392 is: 643,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,084 : 301,392 = 301,392 : x
  2. Step 2: Convert to fraction form
    141,084/301,392 = 301,392/x
  3. Step 3: Cross multiply
    141,084x = 301,392 × 301,392
  4. Step 4: Simplify right side
    141,084x = 90,837,137,664
  5. Step 5: Solve for x
    x = 90,837,137,664/141,084
  6. Step 6: Final answer
    x = 643,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.