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Finding the Third Proportional to 117,490 and 167,487

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Solution

The third proportional to 117,490 and 167,487 is: 238,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,490 : 167,487 = 167,487 : x
  2. Step 2: Convert to fraction form
    117,490/167,487 = 167,487/x
  3. Step 3: Cross multiply
    117,490x = 167,487 × 167,487
  4. Step 4: Simplify right side
    117,490x = 28,051,895,169
  5. Step 5: Solve for x
    x = 28,051,895,169/117,490
  6. Step 6: Final answer
    x = 238,759.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.