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Finding the Third Proportional to 118,557 and 210,798

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Solution

The third proportional to 118,557 and 210,798 is: 374,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,557 : 210,798 = 210,798 : x
  2. Step 2: Convert to fraction form
    118,557/210,798 = 210,798/x
  3. Step 3: Cross multiply
    118,557x = 210,798 × 210,798
  4. Step 4: Simplify right side
    118,557x = 44,435,796,804
  5. Step 5: Solve for x
    x = 44,435,796,804/118,557
  6. Step 6: Final answer
    x = 374,805.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.