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Finding the Third Proportional to 245,916 and 538,164

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Solution

The third proportional to 245,916 and 538,164 is: 1,177,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,916 : 538,164 = 538,164 : x
  2. Step 2: Convert to fraction form
    245,916/538,164 = 538,164/x
  3. Step 3: Cross multiply
    245,916x = 538,164 × 538,164
  4. Step 4: Simplify right side
    245,916x = 289,620,490,896
  5. Step 5: Solve for x
    x = 289,620,490,896/245,916
  6. Step 6: Final answer
    x = 1,177,721.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.