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Finding the Third Proportional to 137,984 and 301,798

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Solution

The third proportional to 137,984 and 301,798 is: 660,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984 : 301,798 = 301,798 : x
  2. Step 2: Convert to fraction form
    137,984/301,798 = 301,798/x
  3. Step 3: Cross multiply
    137,984x = 301,798 × 301,798
  4. Step 4: Simplify right side
    137,984x = 91,082,032,804
  5. Step 5: Solve for x
    x = 91,082,032,804/137,984
  6. Step 6: Final answer
    x = 660,091.26

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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.