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Finding the Third Proportional to 84,607 and 183,793

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Solution

The third proportional to 84,607 and 183,793 is: 399,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,607 : 183,793 = 183,793 : x
  2. Step 2: Convert to fraction form
    84,607/183,793 = 183,793/x
  3. Step 3: Cross multiply
    84,607x = 183,793 × 183,793
  4. Step 4: Simplify right side
    84,607x = 33,779,866,849
  5. Step 5: Solve for x
    x = 33,779,866,849/84,607
  6. Step 6: Final answer
    x = 399,256.17

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Why These Related Problems?

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