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Finding the Third Proportional to 134,545 and 208,379

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Solution

The third proportional to 134,545 and 208,379 is: 322,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,545 : 208,379 = 208,379 : x
  2. Step 2: Convert to fraction form
    134,545/208,379 = 208,379/x
  3. Step 3: Cross multiply
    134,545x = 208,379 × 208,379
  4. Step 4: Simplify right side
    134,545x = 43,421,807,641
  5. Step 5: Solve for x
    x = 43,421,807,641/134,545
  6. Step 6: Final answer
    x = 322,730.74

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Why These Related Problems?

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