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Finding the Third Proportional to 182,838 and 277,785

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Solution

The third proportional to 182,838 and 277,785 is: 422,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,838 : 277,785 = 277,785 : x
  2. Step 2: Convert to fraction form
    182,838/277,785 = 277,785/x
  3. Step 3: Cross multiply
    182,838x = 277,785 × 277,785
  4. Step 4: Simplify right side
    182,838x = 77,164,506,225
  5. Step 5: Solve for x
    x = 77,164,506,225/182,838
  6. Step 6: Final answer
    x = 422,037.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.