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Finding the Third Proportional to 117,008 and 183,362

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Solution

The third proportional to 117,008 and 183,362 is: 287,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008 : 183,362 = 183,362 : x
  2. Step 2: Convert to fraction form
    117,008/183,362 = 183,362/x
  3. Step 3: Cross multiply
    117,008x = 183,362 × 183,362
  4. Step 4: Simplify right side
    117,008x = 33,621,623,044
  5. Step 5: Solve for x
    x = 33,621,623,044/117,008
  6. Step 6: Final answer
    x = 287,344.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.