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Finding the Third Proportional to 155,440 and 183,826

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Solution

The third proportional to 155,440 and 183,826 is: 217,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440 : 183,826 = 183,826 : x
  2. Step 2: Convert to fraction form
    155,440/183,826 = 183,826/x
  3. Step 3: Cross multiply
    155,440x = 183,826 × 183,826
  4. Step 4: Simplify right side
    155,440x = 33,791,998,276
  5. Step 5: Solve for x
    x = 33,791,998,276/155,440
  6. Step 6: Final answer
    x = 217,395.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.